Interactive multiple-choice quiz: اختبر نفسك (7) مراجعة الدرس الأول (المساحة بين المنحنيات)

A

$A = \int_a^b [f(x) - g(x)] dx$

B

$A = \int_a^b [g(x) - f(x)] dx$

C

$A = \int_a^b f(x) dx$

D

$A = \int_a^b g(x) dx$

A

$A = \int_0^9 (\sqrt{x} - 9) dx$

B

$A = \int_0^3 (9 - y^2) dy$

C

$A = \int_{-3}^3 (y^2 - 9) dy$

D

$A = \int_0^9 (9 - \sqrt{x}) dx$

A

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

B

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

C

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

D

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

A

$A = \frac{1}{6}$

B

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

C

$A = \frac{8}{3}$

D

$A = \frac{16}{3}$

A

$\frac{13}{12}$

B

$\frac{11}{12}$

C

$\frac{5}{4}$

D

1

A

$\frac{17}{3} - \sin 2$

B

$\frac{17}{3} + \sin 2$

C

$\frac{17}{3} - \cos 2$

D

$\frac{17}{3} + \cos 2$

A

$\frac{14}{3} - \sin 2$

B

$\frac{20}{3} - \sin 2$

C

$\frac{20}{3} - \cos 2$

D

$\frac{14}{3} - \cos 2$

A

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

B

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

C

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

D

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

A

A₁

B

A₁ + A₂

C

A₃

D

A₂

A

A₁

B

A₁ + A₂

C

A₃

D

A₂

A

$\int_0^4 (2x - x^2) dx$

B

$\int_0^2 (2x - x^2) dx$

C

$\int_0^4 (\frac{y}{2} - \sqrt{y}) dy$

D

$\int_0^4 (y^2 - 2y) dx$

A

A = 21 - e^-4 - e^-1

B

A = 21 + e^-4 - e^-1

C

A = e^-4 - e - 21

D

A = e^-4 - e + 21

A

$area = 2 + \frac{\pi}{2}$

B

$area = 2 + \frac{2\pi}{3}$

C

$area = 2 - \frac{\pi}{2}$

D

$area = 2 - \frac{\pi}{2}$ (كررت الخيارات في النموذج)

A

$\frac{193}{12}$

B

$\frac{218}{12}$

C

$\frac{253}{12}$

D

$\frac{305}{12}$

A

$\frac{64}{3}$

B

$\frac{3}{4}$

C

$\frac{80}{3}$

D

$\frac{40}{3}$

A

$\frac{1}{5}$

B

$\frac{1}{4}$

C

$\frac{1}{3}$

D

$\frac{1}{2}$

A

$\int_0^a [3 - f(x)] dx + \int_a^b [-3 + f(x)] dx$

B

$\int_0^a [-3 + f(x)] dx + \int_a^b [3 - f(x)] dx$

C

$\int_0^a [f(x) + 3] dx + \int_a^b [-3 - f(x)] dx$

D

$\int_0^a [f(x) - 3] dx + \int_a^b [3 + f(x)] dx$

A

$\int_0^c [f(x) - g(x)] dx$

B

$\int_0^c [g(x) - f(x)] dx$

C

$\int_0^a g(x) dx - \int_a^c f(x) dx$

D

$\int_0^a g(x) dx + \int_a^c f(x) dx$

A

9

B

8

C

11

D

13