اختبار اختيار من متعدد تفاعلي: اختبار شامل لجميع الأسئلة الموضوعية MCQ للسنوات السابقة

أ

2 cos x + sin x + c

ب

-2 cos x + sin x + c

ج

-3 sin x + cos x + c

د

3 sin x + cos x + c

أ

2 cos x + sin x + c

ب

-2 cos x + sin x + c

ج

-3 sin x + cos x + c

د

3 sin x + cos x + c

أ

2 sec x + c

ب

2 sec² x + c

ج

2 tan² x + c

د

2 tan x + c

أ

5 sec x + c

ب

5 sec² x + c

ج

5 tan² x + c

د

5 tan x + c

أ

4 sec x tan x + c

ب

$-4 \csc x \cot x + c$

ج

4 sec x + c

د

$-4 \csc x + c$

أ

3e^x - 2 + c

ب

3e^x - 2x + c

ج

e^x - 2 + c

د

-3e^x - 2x + c

أ

2x - 2e^5x + c

ب

$2x^2 - \frac{2}{5}e^{5x} + c$

ج

e^x - 2 + c

د

-3e^x - 2x + c

أ

$2\cos x + \frac{1}{x} + c$

ب

-3sin x + ln x + c

ج

3cos x - x + c

د

3sin x - ln x + c

أ

-cos x + ln x + c

ب

cos x + 2ln x + c

ج

3cos x - x + c

د

ln x - sin x + c

أ

4sin^-1x + c

ب

4cos^-1x + c

ج

4tan^-1x + c

د

sqrt{1-x²} + c

أ

-6

ب

-5

ج

5

د

-3

أ

$\frac{1}{a}e^{\frac{x}{a}} + c$

ب

$\text{s}qrt{a}e^{\frac{x}{a}} + c$

ج

$a^2e^{\frac{x}{a}} + c$

د

$2ae^{\frac{x}{a}} + c$

أ

$-a\cos\left(\frac{x}{a}\right)+c,\a\ne0$

ب

$-\frac{1}{a}\cos\left(\frac{x}{a}\right)+c,\a\ne0$

ج

$-a\sin\left(\frac{x}{a}\right)+c,\a\ne0$

د

$-\frac{1}{a}\cos\left(\frac{x}{a}\right)+c,\a\ne0$

أ

$\ln|e^x+4|+c$

ب

$\ln|e^x|+c$

ج

x - 4e^-x+c

د

x - 4e^x+c

أ

2x²(x²+4)+c

ب

$\ln|x^2+2x|+c$

ج

(x²+4)²+c

د

$\ln|x^2+4|+c$

أ

$-\cot 2x+c$

ب

$\frac{\text{s}in 2x}{\cos 2x}+c$

ج

$-\frac{1}{2}\ln|\text{s}in 2x|+c$

د

$-\frac{1}{2}\ln|\cos 2x|+c$

أ

$-\frac{1}{e^x}-2x+c$

ب

$\frac{1}{e^x}-x+c$

ج

$-\frac{1}{e^x}-2xe^x+c$

د

e^x-2x+c

أ

$\frac{1}{2}\ln|x^2+7|+c$

ب

$\frac{1}{4}\ln|x^2+7|+c$

ج

$2\ln|x^2+7|+c$

د

$4\ln|x^2+7|+c$

أ

-cos(mx)+c

ب

cos(mx)+c

ج

-sin(mx)+c

د

$\frac{1}{m}\cos(mx)+c$

أ

$2\tan^{-1}\left(\frac{x}{2}\right)+c$

ب

$-2\tan^{-1}\left(\frac{x}{2}\right)+c$

ج

$\frac{1}{2}\tan^{-1}\left(\frac{x}{2}\right)+c$

د

$-\frac{1}{2}\tan^{-1}\left(\frac{x}{2}\right)+c$

أ

$3\ln|e^{3x}|+c$

ب

$\frac{3}{5}\ln|e^{3x}|+c$

ج

5x+e^3x+c

د

$\frac{1}{3}\ln|5+e^{3x}|+c$

أ

tan x+c

ب

-cos x+c

ج

$-\cot x+c$

د

$\cot x+c$

أ

ln x⁴+c

ب

4x^-1+c

ج

2x²+c

د

4e^x+c

أ

4cos^-1x+c

ب

4tan^-1x+c

ج

$\frac{1}{4}\tan^{-1}x+c$

د

4sin^-1x+c

أ

$f(x)=3e^x+\frac{x^2}{2}+1$

ب

$f(x)=3e^{\frac{x^2}{2}}+\frac{x^2}{2}+1$

ج

$f(x)=3e^x-\frac{x^2}{2}-1$

د

$f(x)=3e^x+\frac{x}{2}+1$

أ

f(x)=4sin x-3

ب

f(x)=sin x+3

ج

f(x)=3sin x+4

د

f(x)=4sin x+3

أ

$f(x)=x^5+\frac{1}{2}e^{2x}-4x+\frac{3}{2}$

ب

f(x)=x⁴+e^2x+1

ج

$f(x)=x^5+\frac{1}{2}e^{2x}+4x-\frac{3}{2}$

د

f(x)=x⁴+2e^x+1

أ

$f(x)=x^5+\frac{1}{2}e^{2x}-4x+\frac{3}{2}$

ب

f(x)=x⁴+e^2x+1

ج

$f(x)=x^5+\frac{1}{2}e^{2x}+4x-\frac{3}{2}$

د

f(x)=x⁴+2e^x+1

أ

$f(t)=2t^2+t^3+\frac{3}{2}t-\frac{3}{2}$

ب

$f(t)=t^2+\frac{t^3}{3}+6t-2$

ج

$f(t)=2t^2+\frac{3}{2}t^3+t-\frac{3}{2}$

د

$f(t)=t^2+\frac{t^3}{3}-6t+2$

أ

$f(t)=2t^2+t^3+\frac{3}{2}t-\frac{3}{2}$

ب

$f(t)=t^2+\frac{1}{3}t^3+6t-2$

ج

$f(t)=2t^2+\frac{3}{2}t^3+t-\frac{3}{2}$

د

$f(t)=t^2+\frac{t^3}{3}-6t+2$

أ

f(x)=6-3e^-x

ب

f(x)=3+6e^-x

ج

f(x)=2-e^-x

د

f(x)=6+3e^-x

أ

7583

ب

7853

ج

7385

د

7005

أ

2592

ب

2925

ج

2953

د

22955

أ

21890

ب

-21890

ج

-21980

د

-21980

أ

875

ب

857

ج

-875

د

-857

أ

$\frac{n(n+1)(2n+1)}{6}-3n$

ب

$\frac{n(n+1)(2n+1)}{6}+3n+3$

ج

$\frac{n(n+1)(2n+1)}{6}-3n+1$

د

$\frac{n(n+1)(2n+1)}{6}-3n-1$

أ

60

ب

95

ج

40

د

220

أ

42

ب

70

ج

312

د

270

أ

$\lim_{n\to\infty}\sum_{i=1}^{n} f(x_i)$

ب

$\lim_{n\to c}\sum_{i=1}^{n} f(x_i)\Delta x$

ج

$\sum_{i=1}^{n} f(x_i)\Delta x$

د

$\lim_{n\to\infty}\sum_{i=1}^{n} f(x_i)\Delta x$

أ

3

ب

-5

ج

-3

د

5

أ

11

ب

5

ج

-3

د

2

أ

$\lim_{n\to\infty}\sum_{i=1}^{n}\frac{2i}{n^2}$

ب

$\lim_{n\to\infty}\sum_{i=1}^{n}\frac{2i}{n}$

ج

$\lim_{n\to\infty}\sum_{i=1}^{n}\frac{4i}{n^2}$

د

$\lim_{n\to\infty}\sum_{i=1}^{n}2i$

أ

$\lim_{n\to\infty}\sum_{i=1}^{n}\left(\frac{2i^2}{n^2}-2\right)\frac{2}{n}$

ب

$\lim_{n\to\infty}\sum_{i=1}^{n}\left(\frac{i^2}{n^2}-2\right)\frac{2}{n}$

ج

$\lim_{n\to\infty}\sum_{i=1}^{n}\left(\frac{4i^2}{n^2}-2\right)\frac{2}{n}$

د

$\lim_{n\to\infty}\sum_{i=1}^{n}\frac{4i^2}{n^4}$

أ

11

ب

-16

ج

16

د

2

أ

$\int_{-1}^{2}(5x-4)\,dx$

ب

$\int_{2}^{-1}(5x+4)\,dx$

ج

$\int_{-1}^{2}(4x+5)\,dx$

د

$\int_{-1}^{2}(5x+4)\,dx$

أ

$\int_0^2 x^2\,dx$

ب

$\int_0^2 2x\,dx$

ج

$\int_0^1 2x^2\,dx$

د

$\int_1^0 2x^2\,dx$

أ

$\int_0^1 \sin(\pi x)\,dx$

ب

$\int_0^\pi \sin(\pi x)\,dx$

ج

$\int_0^1 \cos(\pi x)\,dx$

د

$\int_0^\pi \sin(x)\,dx$

أ

2

ب

1

ج

-1

د

5

أ

2

ب

1

ج

8

د

5

أ

-17

ب

1

ج

8

د

5

أ

-1

ب

1

ج

8

د

5

أ

-6

ب

-44

ج

-14

د

5

أ

27

ب

25

ج

-26

د

2

أ

27

ب

25

ج

-26

د

2

أ

27

ب

-3

ج

1

د

2

أ

27

ب

25

ج

13

د

2

أ

$\int_5^2 f(x)\,dx$

ب

$\int_0^2 f(x)\,dx$

ج

$\int_2^5 f(x)\,dx$

د

$\int_0^5 f(x)\,dx$

أ

12

ب

6

ج

15

د

16

أ

12

ب

6

ج

15

د

16

أ

$\pi$

ب

$2\pi$

ج

$\frac{1}{2}\pi$

د

$4\pi$

أ

Area of a semicircle: $\frac{9\pi}{4}$

ب

Area of a quarter circle: $\frac{9\pi}{4}$

ج

Area of a circle: $\frac{9\pi}{4}$

د

Circumference of a circle: $\frac{9\pi}{4}$

أ

12

ب

6

ج

5

د

4

أ

$\frac{2}{\sqrt{3}}$

ب

$-\frac{2}{\sqrt{3}}$

ج

$\sqrt{3}$

د

1

أ

$\frac{3+2\sqrt{3}}{3}$

ب

$\frac{3-2\sqrt{3}}{3}$

ج

$\sqrt{3}$

د

$\frac{2\sqrt{3}}{3}$

أ

25

ب

3

ج

-2

د

-4

أ

0

ب

3

ج

-2

د

-4

أ

0

ب

3

ج

-2

د

-4

أ

0

ب

8

ج

-2

د

-4

أ

7

ب

$3-3\ln4$

ج

$\frac{1}{3}$

د

$\frac{62}{5}+3\ln4$

أ

5

ب

$3-3\ln4$

ج

$\frac{1}{3}$

د

$\frac{62}{5}+3\ln4$

أ

e+1

ب

-2e^-3+6

ج

$2\pi$

د

-e^-2-3

أ

e+1

ب

-2e^-3+6

ج

$2\pi$

د

-e^-2-3

أ

e+1

ب

$\frac{1}{2}e^2-4e+\frac{15}{2}$

ج

$2\pi$

د

-e^-2-3

أ

3

ب

25

ج

21

د

7

أ

$[\text{s}in^{-1}(3x)]_0^{\frac{1}{2}}$

ب

$[3\cos^{-1}x]_0^{\frac{1}{2}}$

ج

$[3\text{s}in^{-1}x]_0^{\frac{1}{2}}$

د

$[-\cos^{-1}(3x)]_0^{\frac{1}{2}}$

أ

[4sin^-1x]_-1^{1}

ب

[4cos^-1x]_-1^{1}

ج

[4tan^-1x]_-1^{1}

د

[-4tan^-1x]_-1^{1}

أ

$f'(x)=2-x$

ب

$f'(x)=x^2-3x$

ج

$f'(x)=x^2-3x+2$

د

$f'(x)=2x-3$

أ

$f'(x)=x^2-3x-4$

ب

$f'(x)=x^2-3x$

ج

$f'(x)=x^2-3x+2$

د

$f'(x)=2x-3$

أ

$f'(x)=2x(e^{-x^2}+1)$

ب

$f'(x)=2x(e^{-x^4}+1)$

ج

$f'(x)=-x^2(e^{-x^4}+1)$

د

$f'(x)=2xe^{-x^4}$

أ

$f'(x)=2-\text{s}ec x$

ب

$f'(x)=\text{s}ec x$

ج

$f'(x)=\text{s}ec x\tan x$

د

$f'(x)=-\text{s}ec x$

أ

$F'(x)=2-x$

ب

$F'(x)=x-2$

ج

$F'(x)=x+2$

د

$F'(x)=2x-2$

أ

2

ب

-5

ج

3

د

-15

أ

y=x-2

ب

y=4x+4

ج

y=0

د

y=ex

أ

y=x-2

ب

y=4x+4

ج

y=0

د

y=ex

أ

y=x-2

ب

y=4x+4

ج

y=0

د

y=ex

أ

y=x^e

ب

y=-ex

ج

y=e-x

د

y=ex

أ

y=sqrt{2}(x+1)

ب

y=2sqrt{2}(x-1)

ج

y=sqrt{2}(x-1)

د

y=2sqrt{2}(x+1)

أ

$\frac{1}{2}(x^4+3)^{\frac{3}{2}}+c$

ب

$\frac{1}{6}x^4(x^5+3)^{\frac{3}{2}}+c$

ج

$\frac{1}{2}(x^4+3)^{\frac{1}{2}}+c$

د

$\frac{1}{6}(x^4+3)^{\frac{3}{2}}+c$

أ

$\frac{1}{5}(1+10x)^{\frac{3}{2}}+c$

ب

$\frac{1}{15}x(1+10x)^{\frac{3}{2}}+c$

ج

$\frac{1}{2}(1+10x)^{\frac{1}{2}}+c$

د

$\frac{1}{15}(1+10x)^{\frac{3}{2}}+c$

أ

2sqrt{cos x}+c

ب

-2sqrt{cos x}+c

ج

$\frac{1}{\text{s}qrt{\cos x}}+c$

د

-2sqrt{sin x}+c

أ

$-\frac{\text{s}in^4x}{4}+c$

ب

$-\frac{\cos^4x}{4}+c$

ج

$\frac{1}{4}\text{s}in^4x+c$

د

sin²xcos x+c

أ

$\frac{1}{4}\cos(t^4)+c$

ب

$\frac{1}{3}\cos(t^3)+c$

ج

$\frac{1}{3}\text{s}in(t^3)+c$

د

$\frac{1}{3}\text{s}in^3t+c$

أ

$-\frac{2}{7}(\cos x+3)^{\frac{7}{2}}+c$

ب

$\frac{4}{7}(\cos x+3)^{\frac{7}{4}}+c$

ج

$-\frac{4}{7}(\cos x+3)^{\frac{7}{4}}+c$

د

$-\frac{7}{4}(\cos x+3)^{\frac{7}{4}}+c$

أ

$\frac{1}{2}e^{x^2+1}+c$

ب

$\frac{1}{2}xe^{x^2+1}+c$

ج

$\frac{3}{2}e^{x^2+1}+c$

د

2e^x2+1+c

أ

$\frac{1}{2}(e^x+1)^{\frac{3}{2}}+c$

ب

$\frac{2}{3}(e^x+1)^{\frac{3}{2}}+c$

ج

$\frac{3}{2}(e^x+1)^{\frac{3}{2}}+c$

د

$\frac{2}{3}(e^x+1)^{\frac{2}{3}}+c$

أ

$\frac{1}{2e^{\text{s}qrt{x}}}+c$

ب

$\frac{1}{2}e^{\text{s}qrt{x}}+c$

ج

$\frac{2}{e^{\text{s}qrt{x}}}+c$

د

2e^{sqrt{x}}+c

أ

$-\sin\frac{1}{x^2}+c$

ب

$-\sin\frac{1}{x}+c$

ج

$\sin\frac{1}{x}+c$

د

$\sin\frac{1}{x^2}+c$

أ

$-\frac{\text{s}in^6x}{6}+c$

ب

$\frac{\text{s}in^6x}{6}+c$

ج

$-\frac{\cos^6x}{6}+c$

د

6sin⁵xcos x+c

أ

-2sinsqrt{x}+c

ب

-2\cossqrt{x}+c

ج

2sinsqrt{x}+c

د

2\cossqrt{x}+c

أ

$\ln\left|\frac{x^5}{1+x^6}\right|+c$

ب

$\frac{1}{5}\ln|1+x^5|+c$

ج

$\frac{1}{6}\ln|1+x^6|+c$

د

$\frac{1}{6}x^6\ln|x|+c$

أ

tan^-1x³+c

ب

$\tan^{-1}\left(\frac{x^3}{3}\right)+c$

ج

$\frac{1}{3}\tan^{-1}x^3+c$

د

tan^-1x+c

أ

$\tan^{-1}x^{\frac{3}{2}}+c$

ب

$\frac{1}{2}\tan^{-1}x^{\frac{2}{3}}+c$

ج

$\frac{1}{2}\tan^{-1}x^{\frac{3}{2}}+c$

د

$2\tan^{-1}x^{\frac{3}{2}}+c$

أ

$\frac{2}{5}\tan^{-1}x^{\frac{5}{2}}+c$

ب

$\frac{5}{2}\tan^{-1}x^{\frac{5}{2}}+c$

ج

$\frac{1}{5}\tan^{-1}x^{\frac{5}{2}}+c$

د

$\frac{1}{2}\tan^{-1}x^{\frac{5}{2}}+c$

أ

$\tan^{-1}e^2-\frac{\pi}{2}$

ب

$\frac{\pi}{4}\tan^{-1}e^2$

ج

$\frac{1}{5}\tan^{-1}e^2-\frac{\pi}{4}$

د

$\tan^{-1}e^2-\frac{\pi}{4}$

أ

$\ln|9x^2+9x+1|+c$

ب

$2\ln|9x^2+9x+1|+c$

ج

$2\ln|36x+18|+c$

د

2(9x²+9x+1)+c

أ

$A=\frac{1}{3}$

ب

$A=\frac{64}{3}$

ج

$A=\frac{4\sqrt{2}}{3}$

د

$A=\frac{27}{4}$

أ

$A=\frac{1}{3}$

ب

$A=\frac{64}{3}$

ج

$A=\frac{4\sqrt{2}}{3}$

د

$A=\frac{27}{4}$

أ

$A=\frac{1}{3}$

ب

$A=\frac{64}{3}$

ج

$A=\frac{4\sqrt{2}}{3}$

د

$A=\frac{27}{4}$

أ

$A=\frac{1}{3}$

ب

$A=\frac{64}{3}$

ج

$A=\frac{4\sqrt{2}}{3}$

د

$A=\frac{27}{4}$

أ

$A=\int_0^1(2-2x^2)\,dx+\int_1^2(2x^2-2)\,dx$

ب

$A=\int_0^1(2x^2-1)\,dx+\int_1^2(2-2x^2)\,dx$

ج

$A=\int_0^1 x^2\,dx+\int_1^2(2x^2-2)\,dx$

د

$A=\int_0^2(2-2x^2)\,dx$

أ

$A=\int_{-1}^{1}(x-x^2)\,dx$

ب

$A=\int_0^1(x^2-x)\,dx$

ج

$A=\int_0^1(x-x^2)\,dx$

د

$A=\int_{-1}^{1}(x^2-x)\,dx$

أ

$A=\int_1^4(5y-(4+y^2))\,dy$

ب

$A=\int_5^{20}((4+y^2)-5y)\,dy$

ج

$A=\int_5^{20}(5x-(4+x^2))\,dx$

د

$A=\int_1^4((4+x^2)-5x)\,dx$

أ

$A=\int_0^2(2-2x)\,dx$

ب

$A=\int_0^1(2-y)\,dy$

ج

$A=\int_0^1(2-2y)\,dy$

د

$A=\int_0^2(y-2)\,dy$

أ

$A=\int_0^2(2-2x)\,dx$

ب

$A=\int_0^1(2-y)\,dy$

ج

$A=\int_0^1(2-2y)\,dy$

د

$A=\int_0^2(6-2y)\,dy$

أ

$A=\int_0^1 y\,dy$

ب

$A=\int_0^1 2y\,dy$

ج

$A=\int_0^1 2x\,dx$

د

$A=\int_0^1 x\,dx$

أ

$A=\int_0^1(2-x-x^2)\,dx$

ب

$A=\int_1^2(3y-2-y^2)\,dy$

ج

$A=\int_1^2(3y-2+y^2)\,dy$

د

$A=\int_0^2(2-y)\,dy$

أ

$A=\int_0^1(3-x^2-2x)\,dx$

ب

$A=\int_0^1(3-2y-y^2)\,dy$

ج

$A=\int_0^1(3+x^2+2x)\,dx$

د

$A=\int_0^1(3-x^2+2x)\,dx$

أ

$A=\int_0^3(4-\sqrt{x})\,dx$

ب

$A=\int_{-2}^{2}(4-y^2)\,dy$

ج

$A=\int_{-2}^{2}(y^2-4)\,dy$

د

$A=\int_{-2}^{2}(y^2+4)\,dy$

أ

$A=\int_0^1(2-x-x^2)\,dx$

ب

$A=\int_0^2(2-y-\sqrt{y})\,dy$

ج

$A=\int_0^1(2-y-\sqrt{y})\,dy$

د

$A=\int_0^2(2-y+\sqrt{y})\,dy$

أ

$A=\int_0^2(y^2+y)\,dy$

ب

$A=\int_0^2(y^2-y)\,dy$

ج

$A=\int_{-2}^{4}(\text{s}qrt{x}-x)\,dx$

د

$A=\int_{-2}^{4}(\text{s}qrt{x}+x)\,dx$

أ

$v=\int_0^4 (4-2x)^2\,dx$

ب

$v=\int_0^2 \pi(4-2x)^2\,dx$

ج

$v=\int_0^x \pi(4-2x)^2\,dx$

د

$v=\int_0^2 (4-2x)^2\,dx$

أ

$v=\int_0^4(8-2x)^2\,dx$

ب

$v=\pi\int_0^2\left((8-2x)^2-4^2\right)\,dx$

ج

$v=\pi\int_0^2\left(4^2-(2x)^2\right)\,dx$

د

$v=\int_0^2(8-2y)^2\,dy$

أ

$v=\int_0^4(8-2x)^2\,dx$

ب

$v=\pi\int_0^2\left((8-2x)^2-4^2\right)\,dx$

ج

$v=\pi\int_0^2\left(4^2-(2x)^2\right)\,dx$

د

$v=\int_0^2(8-2y)^2\,dy$

أ

$v=\int_0^2(4-y)^2\,dy$

ب

$v=\int_0^4\left(\frac{4-y}{2}\right)^2\,dy$

ج

$v=\pi\int_0^4\left(\frac{4-y}{2}\right)^2\,dy$

د

$v=\pi\int_0^2\left(\frac{y-4}{2}\right)^2\,dy$

أ

$\frac{32}{3}\pi$

ب

$\frac{1}{2}\pi$

ج

$\frac{112}{3}\pi$

د

$\frac{32}{5}$

أ

$\frac{16}{3}\pi$

ب

$\frac{1}{2}\pi$

ج

$\frac{64}{3}\pi$

د

$\frac{32}{5}$

أ

$v=\int_0^4 \pi\left[(2+\sqrt{y})^2-(2-\sqrt{y})^2\right]dy$

ب

$v=\pi\int_0^4(\sqrt{y})^2\,dy$

ج

$v=\int_0^4 \pi\left[(2-\sqrt{y})^2-(2+\sqrt{y})^2\right]dy$

د

$v=\int_0^4 \pi\left[(4+\sqrt{y})^2-(4-\sqrt{y})^2\right]dy$

أ

$v=\int_0^4 \pi\left[(2+\sqrt{y})^2-(2-\sqrt{y})^2\right]dy$

ب

$v=\pi\int_0^4(\sqrt{y})^2\,dy$

ج

$v=\int_0^4 \pi\left[(2-\sqrt{y})^2-(2+\sqrt{y})^2\right]dy$

د

$v=\int_0^4 \pi\left[(\sqrt{y}+4)^2-(4-\sqrt{y})^2\right]dy$

أ

$v=\int_0^4 \pi\left[(2+\sqrt{y})^2-(2-\sqrt{y})^2\right]dy$

ب

$v=\pi\int_0^4(\sqrt{y})^2\,dy$

ج

$v=\int_0^4 \pi\left[(2-\sqrt{y})^2-(2+\sqrt{y})^2\right]dy$

د

$v=\int_0^4 \pi\left[(\sqrt{y}+4)^2-(4-\sqrt{y})^2\right]dy$

أ

$\frac{1408}{15}\pi$

ب

$\frac{512}{15}\pi$

ج

$\frac{384}{5}\pi$

د

$\frac{32}{5}$

أ

$\frac{1408}{15}\pi$

ب

$\frac{512}{15}\pi$

ج

$\frac{384}{5}\pi$

د

$\frac{32}{5}\pi$

أ

$\frac{1408}{15}\pi$

ب

$\frac{512}{15}\pi$

ج

$\frac{384}{5}\pi$

د

$\frac{32}{5}\pi$

أ

$v=\int_0^3\left(\frac{6-y}{2}\right)^2dy$

ب

$v=\int_0^6\pi\left(\frac{6-y}{2}\right)^2dy$

ج

$v=\int_0^3\pi\left(\frac{6-y}{2}\right)^2dy$

د

$v=\int_0^6\left(\frac{6-y}{2}\right)^2dy$

أ

$\frac{1}{5}\pi$

ب

$\frac{1}{2}\pi$

ج

$\frac{1}{6}\pi$

د

$\frac{32}{5}$

أ

$v=\int_2^9 \pi(9-y)^2\,dy$

ب

$v=\int_2^9 \pi\sqrt{9-y}\,dy$

ج

$v=\int_2^9 (9-y)^2\,dy$

د

$v=\int_2^9 \pi(9-y)\,dy$

أ

$V=\int_0^2 \pi(2-x)^2\,dx$

ب

$V=\int_0^2 \pi(3-(2-x))^2\,dx$

ج

$V=\int_0^2 \pi(3)^2\,dx-\int_0^2 \pi(2-x)^2\,dx$

د

$V=\int_0^2 \pi(3)^2\,dx-\int_0^2 \pi(3-(2-x))^2\,dx$

أ

$V=\int_0^2\pi(3)\,dx-\int_0^2\pi(3-(2-x))^2\,dx$

ب

$V=\int_0^2\pi(3-(2-x))^2\,dx$

ج

$V=\int_0^2\pi(3)^2\,dx-\int_0^2\pi(1-x)^2\,dx$

د

$V=\int_0^2\pi(3)^2\,dx-\int_0^2\pi(3-(2-x))^2\,dx$

أ

$V=\frac{5\pi}{32}$

ب

$V=\frac{64\sqrt{2}\pi}{3}$

ج

$V=\frac{64\sqrt{3}\pi}{2}$

د

$V=\frac{224\pi}{5}$

أ

$V=\frac{5\pi}{32}$

ب

$V=\frac{64\sqrt{2}\pi}{3}$

ج

$V=\frac{64\sqrt{3}\pi}{2}$

د

$V=\frac{224\pi}{5}$

أ

$V=\frac{5\pi}{32}$

ب

$V=\frac{32\pi}{5}$

ج

$V=\frac{224\pi}{15}$

د

$V=\frac{224\pi}{5}$

أ

$V=\frac{5\pi}{32}$

ب

$V=\frac{32\pi}{5}$

ج

$V=\frac{224\pi}{15}$

د

$V=\frac{224\pi}{5}$

أ

$V=\pi\int_0^1 y\,dy-\pi\int_0^1 y^4\,dy$

ب

$V=\pi\int_0^1 (y-y^2)^2\,dy$

ج

$V=\pi\int_0^1(1-y^2)^2\,dy-\pi\int_0^1(1-\sqrt{y})^2\,dy$

د

$V=\pi\int_0^1(1-x^2)^2\,dx-\pi\int_0^1(1-\sqrt{x})^2\,dx$

أ

$V=\pi\int_0^1 y\,dy-\pi\int_0^1 y^4\,dy$

ب

$V=\pi\int_0^1 (y-y^2)^2\,dy$

ج

$V=\pi\int_0^1(1-y^2)^2\,dy-\pi\int_0^1(1-\sqrt{y})^2\,dy$

د

$V=\pi\int_0^1(1-x^2)^2\,dx-\pi\int_0^1(1-\sqrt{x})^2\,dx$

أ

$s=\text{s}qrt{5}+\frac{1}{2}\ln(2+\text{s}qrt{5})$

ب

s=2sqrt{26}

ج

$s=\text{s}qrt{26}\pi$

د

$s=2\text{s}qrt{26}\pi$

أ

$s=\int_0^{\pi/4}\text{s}qrt{1+\text{s}ec^4x}\,dx$

ب

$s=\int_0^{\pi/4}(1+\text{s}ec^4x)\,dx$

ج

$s=\int_0^{\pi/4}\text{s}qrt{1+\text{s}ec^2x}\,dx$

د

$s=\pi\int_0^{\pi/4}\text{s}qrt{1+\tan^2x}\,dx$

أ

$s=\int_0^{\pi}\text{s}qrt{1+4\text{s}in^2x}\,dx$

ب

$s=\int_0^{\pi}\text{s}qrt{1+4\text{s}in x}\,dx$

ج

$s=\int_0^{\pi}\text{s}qrt{1+\text{s}in x}\,dx$

د

$s=\int_0^{\pi}\text{s}qrt{1+\text{s}in^2x}\,dx$

أ

$s=\int_1^3(1+x^2)\,dx$

ب

$s=\int_1^3\frac{\text{s}qrt{1-x^2}}{x}\,dx$

ج

$s=\pi\int_1^3\frac{\text{s}qrt{1+x^2}}{x}\,dx$

د

$s=\int_1^3\frac{\text{s}qrt{1+x^2}}{x}\,dx$

أ

$s=\int_0^{\pi}\text{s}qrt{1+4\cos^2(2x)}\,dx$

ب

$s=\int_0^{\pi}\text{s}qrt{1+4\cos(2x)}\,dx$

ج

$s=\int_0^{\pi}\text{s}qrt{1+4\text{s}in(2x)}\,dx$

د

$s=\int_0^{\pi}\text{s}qrt{1+4\text{s}in^2(2x)}\,dx$

أ

s=sqrt{26}

ب

s=2sqrt{26}

ج

$s=\text{s}qrt{26}\pi$

د

$s=2\text{s}qrt{26}\pi$

أ

$s=\int_1^3\text{s}qrt{1+\ln^2x}\,dx$

ب

$s=\int_1^3\text{s}qrt{1+\frac{1}{x^2}}\,dx$

ج

$s=\int_1^3\text{s}qrt{1+\frac{1}{x}}\,dx$

د

$s=\int_1^3(1+\frac{1}{x^2})\,dx$

أ

sqrt{10}

ب

2sqrt{10}

ج

sqrt{5}

د

2sqrt{5}

أ

$s=\int_{-2}^{0}2\pi(x^3-4x)\text{s}qrt{1+(3x^2-4)^2}\,dx$

ب

$s=\int_{-2}^{0}\pi(x^3-4x)\text{s}qrt{1+(3x^2-4)^2}\,dx$

ج

$s=\int_{-2}^{0}2\pi(x^3-4x)\text{s}qrt{1+3x^2-4}\,dx$

د

$s=\int_{-2}^{0}2\pi(3x^2-4)\text{s}qrt{1+(x^3-4x)^2}\,dx$

أ

$s=\int_0^1 4\pi e^x\text{s}qrt{1+e^{2x}}\,dx$

ب

$s=\int_0^1 2e^x\text{s}qrt{1+e^{2x}}\,dx$

ج

$s=\int_0^1 2\pi e^x\text{s}qrt{1+e^{2x}}\,dx$

د

$s=\int_0^1 2\pi e^x\text{s}qrt{1+e^{x^2}}\,dx$

أ

$s=2\pi\int_0^{\pi/2}\cos x\text{s}qrt{1+\text{s}in^2x}\,dx$

ب

$s=2\pi\int_0^{\pi/2}\cos^2x\text{s}qrt{1+\text{s}in x}\,dx$

ج

$s=2\pi\int_0^{\pi/2}\text{s}in x\text{s}qrt{1+\cos^2x}\,dx$

د

$s=2\pi\int_0^{\pi/2}\text{s}in^2x\text{s}qrt{1+\cos x}\,dx$

أ

$s=\int_1^2 4\pi\ln x\sqrt{1+\frac1{x^2}}\,dx$

ب

$s=\int_1^2 2\ln x\sqrt{1+\frac1{x^2}}\,dx$

ج

$s=\int_1^2 2\pi\ln x\sqrt{1+\frac1{x^2}}\,dx$

د

$s=\int_1^2 2\pi\left(\frac1x\right)\sqrt{1+(\ln x)^2}\,dx$

أ

$s=2\pi\int_1^2\text{s}qrt{1+\frac1{4x}}\,dx$

ب

$s=2\pi\int_1^2\text{s}qrt{x}\text{s}qrt{1+\frac1{4x}}\,dx$

ج

$s=\int_1^2\text{s}qrt{x}\text{s}qrt{1+\frac1{4x}}\,dx$

د

$s=2\pi\int_1^2\text{s}qrt{x}\text{s}qrt{1+x}\,dx$

أ

$s=\int_1^2\text{s}qrt{2x}\text{s}qrt{1+\frac1{2x}}\,dx$

ب

$s=\int_1^2 2\pi\text{s}qrt{2x}\text{s}qrt{1+\frac1{2x^2}}\,dx$

ج

$s=\int_1^2 2\pi\text{s}qrt{2x}\text{s}qrt{1+\frac1{2x}}\,dx$

د

$s=\int_1^2 2\pi\text{s}qrt{4+\frac1{2x}}\,dx$

أ

$s=2\pi\int_0^{\pi}\text{s}in x\text{s}qrt{1+\cos^2x}\,dx$

ب

$s=2\pi\int_0^{\pi}\text{s}in^2x\text{s}qrt{1+\cos x}\,dx$

ج

$s=2\pi\int_0^{\pi}\cos x\text{s}qrt{1+\text{s}in^2x}\,dx$

د

$s=2\pi\int_0^{\pi}\cos^2x\text{s}qrt{1+\text{s}in x}\,dx$

أ

$s=\int_0^1 4\pi x\text{s}qrt{1+2x}\,dx$

ب

$s=\int_0^1 2\pi x\text{s}qrt{1+(2x)^2}\,dx$

ج

$s=\int_0^1 2\pi x^2\text{s}qrt{1+(2x)^2}\,dx$

د

$s=\int_0^1 4\pi x^2\text{s}qrt{1+2x}\,dx$

أ

$s=\pi\int_1^2 x^4\text{s}qrt{1+16x^6}\,dx$

ب

$s=2\pi\int_1^2 x^4\text{s}qrt{1+16x^6}\,dx$

ج

$s=2\pi\int_1^2 x^3\text{s}qrt{1+4x^6}\,dx$

د

$s=2\pi\int_1^2 x^4\text{s}qrt{1+4x^6}\,dx$

أ

$-32.6\ft/s$

ب

$\sqrt{30}\ft/s$

ج

$-8\sqrt{30}\ft/s$

د

$120\ft/s$

أ

$-32.6\ft/s$

ب

$\sqrt{30}\ft/s$

ج

$-16\sqrt{30}\ft/s$

د

$120\ft/s$

أ

h

ب

$\sqrt{h}$

ج

h²

د

5h

أ

$-26.6\m/s$

ب

$-36\m/s$

ج

$36\m/s$

د

$26.6\m/s$

أ

$t=3\sqrt{10}\s$ و $R=3\sqrt{490}\m$

ب

$t=10\sqrt{3}\s$ و $R=490\sqrt{3}\m$

ج

$t=\sqrt{3}\s$ و $R=40\sqrt{3}\m$

د

$t=490\sqrt{3}\s$ و $R=10\sqrt{3}\m$

أ

$t=3\sqrt{10}\s$ و $R=3\sqrt{490}\m$

ب

$t=20\sqrt{3}\s$ و $R=4.08\m$

ج

$t=4.08\s$ و $R\approx141.4\m$

د

$t=490\sqrt{3}\s$ و $R=10\sqrt{3}\m$

أ

$t=0.8\s$

ب

$t=0.4\s$

ج

$t=0.2\s$

د

$t=0.33\s$

أ

$R=70\ft$

ب

$R=68\ft$

ج

$R=71\ft$

د

$R=69\ft$

أ

$t=2.08\s$

ب

$t=3.06\s$

ج

$t=5.30\s$

د

$t=4.33\s$

أ

$t=1.026\s$

ب

$t=16.4\s$

ج

$t=2.03\s$

د

$t=45.1\s$

أ

-cos x+sin x+c

ب

xsin x+cos x+c

ج

sin x-xcos x+c

د

sin x-xcos x+c

أ

$-\frac{1}{16}\cos4x+\frac{x}{4}\text{s}in4x+c$

ب

$-\frac{x}{4}\cos4x+\frac{1}{16}\text{s}in4x+c$

ج

$\cos4x-x\text{s}in4x+c$

د

$4\cos4x-16x\text{s}in4x+c$

أ

$\frac{1}{4}xe^{2x}-\frac{1}{2}e^{2x}+c$

ب

$\frac{1}{2}xe^{2x}+\frac{1}{4}e^{2x}+c$

ج

$\frac{1}{2}e^{2x}-\frac{1}{4}xe^{2x}+c$

د

$\frac{1}{2}xe^{2x}-\frac{1}{4}e^{2x}+c$

أ

$\frac{1}{2}\ln x-\frac{1}{4}x^2+c$

ب

$\frac{1}{2}x^2\ln x-\frac{1}{4}x^2+c$

ج

$\frac{1}{4}x^2\ln x-\frac{1}{2}x^2+c$

د

$\frac{1}{2}x^2\ln x+\frac{1}{4}x^2+c$

أ

-cos x+sin x+c

ب

-xcos x+sin x+c

ج

cos x-sin x+c

د

cos x-xsin x+c

أ

$x\ln(2x)-\int dx$

ب

$\frac{\ln(2x)}{2}-\int dx$

ج

$2x\ln(2x)-\int dx$

د

2xln(2x)-x²+c

أ

$\frac{x^3\ln x}{3}-\frac{x^2}{3}+c$

ب

$\frac{x^3\ln x}{3}-\frac{x^3}{9}+c$

ج

$\frac{x^3\ln x}{3}+\frac{x^3}{9}+c$

د

$\frac{x^3\ln x}{3}+\frac{x^3}{3}+c$

أ

$\left[-\frac{x}{2}\cos2x+\frac{1}{4}\sin2x\right]_0^1$

ب

$2x\sin x-\int_0^1 2\sin2x\,dx$

ج

$\left[2x\sin2x+2\cos2x\right]_0^1$

د

$\left[2x\sin2x\right]_0^1-\int_0^1 2\sin2x\,dx$

أ

$[2x\text{s}in x-2\cos x]_0^{\pi}$

ب

$2x\text{s}in x-\int_0^{\pi}2\text{s}in x\,dx$

ج

$[2x\text{s}in x+2\cos x]_0^{\pi}$

د

$[2x\text{s}in x]_0^{\pi}-\int_0^{\pi}2\text{s}in x\,dx$

أ

$\frac{\pi^2}{2}$

ب

$\frac{2}{\pi^2}$

ج

$-\frac{2}{\pi^2}$

د

$-\frac{\pi^2}{2}$

أ

$\frac{1}{27}-\frac{5e^3}{27}$

ب

$\frac{1}{27}+\frac{5e^3}{27}$

ج

$\frac{5e^3}{27}+\frac{2}{27}$

د

$\frac{5e^3}{27}-\frac{2}{27}$

أ

$(x\ln2x)_1^2-\int_1^{10}dx$

ب

$2\ln20+9$

ج

$(x\ln2x)_1^2+\int_1^{10}dx$

د

$(x\ln2x-x)_1^{10}$

أ

$\left(\frac{1}{4}x^2\ln x-\frac{1}{2}x^2\right)_1^2$

ب

$2\ln2+\frac{3}{4}$

ج

$\left(\frac{1}{2}x^2\ln x-\frac{1}{4}x^2\right)_1^2$

د

$\left(\frac{1}{2}x^2\ln x+\frac{1}{4}x^2\right)_1^2$

أ

1

ب

e²

ج

e²+1

د

e²-1

أ

$[x\cos^{-1}x]_{-0.5}^{0.5}+\int_{-0.5}^{0.5}\frac{x}{\text{s}qrt{1-x^2}}\,dx$

ب

$[2x\cos^{-1}x]_{-0.5}^{0.5}-\int_{-0.5}^{0.5}\frac{x}{\text{s}qrt{1-x^2}}\,dx$

ج

$[x\cos^{-1}x]_{-0.5}^{0.5}-\int_{-0.5}^{0.5}\frac{x}{\text{s}qrt{1-x^2}}\,dx$

د

$[x\cos^{-1}x]_{-0.5}^{0.5}+\int_{-0.5}^{0.5}\frac{1}{\text{s}qrt{1-x^2}}\,dx$

أ

8

ب

$\frac{1}{8}$

ج

-8

د

$-\frac{1}{8}$

أ

$\frac{1}{72}$

ب

$\frac{1}{2}$

ج

$-\frac{1}{2}$

د

$-\frac{1}{72}$

أ

$\frac{1}{3}$

ب

$\frac{1}{4}$

ج

$-\frac{1}{4}$

د

$-\frac{1}{3}$

أ

$\frac{1}{3}$

ب

$\frac{1}{4}$

ج

$-\frac{1}{4}$

د

$-\frac{1}{3}$

أ

1

ب

-3

ج

-1

د

3

أ

$x=\text{s}ec\theta\tan\theta$

ب

$x=4\text{s}ec\theta$

ج

$x=4\text{s}in\theta$

د

$x=4\tan\theta$

أ

$9\text{s}qrt{9-x^2}+\frac13(9-x^2)^{3/2}+c$

ب

$-9\text{s}qrt{9-x^2}+\frac13(9-x^2)^{3/2}+c$

ج

$-9\text{s}qrt{9-x^2}-\frac13(9-x^2)^{3/2}+c$

د

-9sqrt{9-x²}+(9-x²)^3/2+c

أ

2-sqrt3

ب

$-\pi$

ج

2+sqrt3

د

$\pi$

أ

2-sqrt3

ب

$-\pi$

ج

2+sqrt3

د

$\pi$

أ

$\frac12x\sqrt{x^2-9}+\frac92\ln\left|\frac{x}{3}-\frac{\sqrt{x^2-9}}{3}\right|+c$

ب

$\frac12x\sqrt{x^2-9}+\frac92\ln\left|\frac{x}{3}+\frac{\sqrt{x^2-9}}{3}\right|+c$

ج

$\frac12\sqrt{x^2-9}+\frac92\ln\left|\frac{x}{3}+\frac{\sqrt{x^2-9}}{3}\right|+c$

د

$\frac92x\sqrt{x^2-9}+\frac12\ln\left|\frac{\sqrt{x^2-9}}{3}\right|+c$

أ

$\frac15(x^2-1)^{5/2}+\frac13(x^2-1)^{3/2}+c$

ب

$\frac13(x^2-1)^{5/2}+\frac15(x^2-1)^{3/2}+c$

ج

$\frac15(x^2-1)^{3/2}+\frac13(x^2-1)^{5/2}+c$

د

$\frac15(x^2-1)^{5/2}-\frac13(x^2-1)^{3/2}+c$

أ

$\ln\left|\frac{x}{2}+\frac{\sqrt{x^2-4}}{2}\right|+c$

ب

$2\ln\left|\frac{x}{2}-\frac{\sqrt{x^2-4}}{2}\right|+c$

ج

$2\ln\left|\frac{x}{2}+\frac{\sqrt{x^2-4}}{2}\right|+c$

د

$2x\ln\left|\frac12+\frac{\sqrt{x^2-4}}{2}\right|+c$

أ

2sqrt{x²-4}+c

ب

sqrt{4-x²}+c

ج

sqrt{2x²-4}+c

د

sqrt{x²-4}+c

أ

$x=\text{s}ec\theta\tan\theta$

ب

$x=5\text{s}ec\theta$

ج

$x=5\text{s}in\theta$

د

$x=5\tan\theta$

أ

$\frac{3}{x+1}-\frac{2}{x-1}$

ب

$\frac{-3}{x+1}+\frac{1}{x-1}$

ج

$\frac{4}{x+1}+\frac{1}{x-1}$

د

$\frac{3}{x+1}+\frac{2}{x-1}$

أ

$3\ln|x+1|+2\ln|x-1|+c$

ب

$3\ln|x+1|-2\ln|x-1|+c$

ج

$2\ln|x+1|-3\ln|x-1|+c$

د

$2\ln|x+1|+3\ln|x-1|+c$

أ

$\frac{3}{x+2}-\frac{2}{x-2}$

ب

$\frac{-3}{x+2}-\frac{2}{x-2}$

ج

$\frac{2}{x+2}+\frac{3}{x-2}$

د

$\frac{3}{x+2}+\frac{2}{x-2}$

أ

$\ln|x+2|+\ln|x-2|+c$

ب

$2\ln|x-2|+3\ln|x+2|+c$

ج

$-2\ln|x+2|-\ln|x-2|+c$

د

$-2\ln|x-2|+3\ln|x+2|+c$

أ

$\frac{3}{x-2}-\frac{2}{x+1}$

ب

$\frac{4}{x-2}+\frac{2}{x+1}$

ج

$\frac{2}{x-2}+\frac{3}{x+1}$

د

$\frac{3}{x-2}+\frac{2}{x+1}$

أ

$2\ln|x-2|+4\ln|x+1|+c$

ب

$4\ln|x-2|+2\ln|x+1|+c$

ج

$4\ln|x-2|-2\ln|x+1|+c$

د

$-4\ln|x-2|-2\ln|x+1|+c$

أ

$\frac{12/5}{x-4}-\frac{3/5}{x+1}$

ب

$\frac{12/5}{x-4}+\frac{3/5}{x+1}$

ج

$\frac{-12/5}{x-4}+\frac{3/5}{x+1}$

د

$\frac{12}{x-4}+\frac{2}{x+1}$

أ

$\frac{12}{5}\ln|x-4|+\frac{3}{5}\ln|x+1|+c$

ب

$-\frac{12}{5}\ln|x-4|+\frac{3}{5}\ln|x+1|+c$

ج

$\frac{5}{12}\ln|x-4|-\frac{3}{5}\ln|x+1|+c$

د

$-\frac{5}{12}\ln|x-4|-2\ln|x+1|+c$

أ

$\frac{2}{x}+\frac{1/2}{x-2}-\frac{5/2}{x+1}$

ب

$-\frac{5}{2x}+\frac{1/2}{x-2}+\frac{2}{x+1}$

ج

$\frac{1}{2x}-\frac{5/2}{x-2}-\frac{2}{x+1}$

د

$-\frac{5}{2x}+\frac{2}{x-2}-\frac{1/2}{x+1}$

أ

$2\ln|x|+\frac{1}{2}\ln|x-2|-\frac{5}{2}\ln|x+1|+c$

ب

$-\frac{5}{2}\ln|x|+\frac{1}{2}\ln|x-2|+2\ln|x+1|+c$

ج

$\frac{1}{2}\ln|x|-\frac{5}{2}\ln|x-2|+2\ln|x+1|+c$

د

$-\frac{5}{2}\ln|x|+2\ln|x-2|+\frac{1}{2}\ln|x+1|+c$

أ

$\frac{4}{3x}+\frac{1}{x+2}-\frac{1}{3(x+3)}$

ب

$\frac{4}{3x}-\frac{1}{x+2}+\frac{1}{3(x+3)}$

ج

$\frac{4}{3x}+\frac{1}{x+2}-\frac{1}{3(x+3)}$

د

$\frac{4}{3x}-\frac{1}{x+2}-\frac{1}{3(x+3)}$

أ

$\frac{1}{3}\ln|x|+\ln|x+2|-\frac{4}{3}\ln|x+3|+c$

ب

$\frac{4}{3}\ln|x|+\ln|x+2|-\frac{1}{3}\ln|x+3|+c$

ج

$\ln|x|+\frac{4}{3}\ln|x+2|-\frac{1}{3}\ln|x+3|+c$

د

$\frac{4}{3}\ln|x|-\ln|x+2|-\frac{1}{3}\ln|x+3|+c$

أ

$\frac{2}{x+2}-\frac{1}{x-2}$

ب

$\frac{1}{x+2}-\frac{2}{x-2}$

ج

$\frac{2}{x+1}-\frac{1}{x-4}$

د

$\frac{1}{x+2}-\frac{1}{x-2}$

أ

$-5\ln|x|+2\ln|x-2|-3\ln|x-1|+c$

ب

$2\ln|x|+3\ln|x-2|-5\ln|x-1|$

ج

$2\ln|x|-3\ln|x-2|+5\ln|x-1|+c$

د

$2\ln|x|+3\ln|x-2|-5\ln|x-1|+c$

أ

$\ln|x+1|+\ln|x-1|+c$

ب

$\ln|x-1|-\ln|x+1|+c$

ج

$\ln|x+1|-\ln|x-1|+c$

د

$-\ln|x-1|-\ln|x+1|+c$

أ

$\frac{4}{x^2+1}-\frac{2}{(x^2+1)^2}$

ب

$\frac{4}{x^2+1}+\frac{2-x}{(x^2+1)^2}$

ج

$\frac{2-x}{x^2+1}+\frac{x}{(x^2+1)^2}$

د

$\frac{x+2}{x^2+1}+\frac{x}{(x^2+1)^2}$

أ

$\frac{x}{x^2+1}-\frac{2-x}{(x^2+1)^2}$

ب

$\frac{x}{x^2+1}+\frac{2-x}{(x^2+1)^2}$

ج

$\frac{2-x}{x^2+1}+\frac{x}{(x^2+1)^2}$

د

$\frac{x+2}{x^2+1}+\frac{x}{(x^2+1)^2}$

أ

$\frac{x}{x^2+x+1}-\frac{x+4}{(x^2+x+1)^2}$

ب

$\frac{4}{x^2+x+1}+\frac{4x+1}{(x^2+x+1)^2}$

ج

$\frac{4x+1}{x^2+x+1}-\frac{4}{(x^2+x+1)^2}$

د

$\frac{4}{x^2+x+1}-\frac{4x+1}{(x^2+x+1)^2}$

أ

$1+\frac{x-8}{x^2+4}-\frac{-4x+24}{(x^2+4)^2}$

ب

$1+\frac{x-8}{x^2+4}-\frac{4x-16}{(x^2+4)^2}$

ج

$1+\frac{-4x+24}{x^2+4}+\frac{x-8}{(x^2+4)^2}$

د

$1+\frac{x+2}{x^2+4}+\frac{x-8}{(x^2+4)^2}$

أ

y=2e^-4x

ب

y=2e^x-4

ج

y=-2e^-2x

د

y=2e^4x

أ

y=-2e^3x

ب

y=3e^-2x

ج

y=2e^3x

د

$y=\frac12 e^{3x}$

أ

y=-5e^3x

ب

y=5e^3x

ج

y=5e^-3x

د

y=3e^-5x

أ

y=-2e^6x

ب

y=6e^-2x

ج

y=-6e^-2x

د

y=2e^-6x

أ

y=2e^-2x

ب

y=2e^2x-2

ج

y=-2e^-2x

د

$y=\frac12 e^{2x}$

أ

y=2e^-2x

ب

y=2e^1-x

ج

y=-2e^-2x

د

$y=\frac12 e^{2x}$

أ

y=2e^-2x

ب

y=2e^2x+2

ج

y=-2e^-2x

د

$y=\frac12 e^{2x}$

أ

y=2e^2x

ب

y=2e^-x-1

ج

y=2e^1+x

د

y=e^1-x

أ

y=-2e^3x

ب

y=-2e^x/3

ج

y=2e^3x-3

د

y=2e^3x-4

أ

e^-y(1+y)=e^-x(2+x)+c

ب

e^-y(1+y)=-e^-x(1+x)+c

ج

e^-y(1+y)=2e^-x(1+x)+c

د

e^-x(1+y)=e^-y(2-x)+c

أ

y=cos[ln x+c]

ب

y=sin[ln x+c]

ج

y=cos[ln(ln x)+c]

د

y=sin[ln(ln x)+c]