اختبار اختيار من متعدد تفاعلي: عكس المشتقة والدالة الأصلية

A

5X⁴

B

\(\frac{1}{6} X^6 + C\)

C

6x⁶

D

6X⁶ + C

A

\(\frac{f'(x)}{f(x)} + c\)

B

ln(f(x)) + c

C

\(\frac{f'(x)}{f(x)}\)

D

\(\frac{1}{x}\)

A

\(\sec^2 x , -\sin x , \sec x \tan x\)

B

\(\frac{1}{1+x^2} , -\frac{1}{\sqrt{1-x^2}} , \frac{1}{|x|\sqrt{1+x^2}}\)

C

\(\frac{\sin x}{\cos x} , \frac{1}{\sec x} , \frac{1}{\cos x}\)

D

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

A

عكس المشتقة

B

المشتقة

C

\(\int x^r \, dx = \frac{x^{r+1}}{r+1} + c\)

D

\(\int x^r \, dx = \frac{x^{r+1}}{r} + c\)

A

\(\ln |\tan x| + c\)

B

\(\frac{1}{\cos^2 x \tan x}\)

C

\(\frac{2 \sec^2 x \tan^2 x - \sec^4 x}{\tan^2 x}\)

D

\(\frac{1}{\sin x \cos x}\)

A

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

B

\(-\frac{3}{x^4}\)

C

x^-2 + c

D

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

A

4 sin^-1 x + c

B

4x sin^-1 x + c

C

4 sin x + c

D

-4 sin^-1 x + c

A

s(t) = -3 cos(x) + x + c

B

\(s(t) = -3 \sin(x) + \frac{1}{2}x^2 + 3x + c\)

C

\(s(t) = -3 \sin(x) + \frac{1}{2}x^2 + 3x + 4\)

D

s(t) = -3 cos(x) + x + 3