Interactive multiple-choice quiz: مراجعة درس 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

1/6

B

1/3

C

8/3

D

16/3

A

13/12

B

11/12

C

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

\(\int_{0}^{4} (2x - x^{2}) dx\)

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 = \(2 - \frac{\pi}{2}\)

A

193/12

B

218/12

C

253/12

D

305/12

A

64/3

B

3/4

C

80/3

D

40/3

A

1/5

B

1/4

C

1/3

D

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

\(\int_{0}^{c} g(x) dx - \int_{a}^{c} f(x) dx\)

D

\(\int_{0}^{a} f(x) dx + \int_{a}^{c} g(x) dx\)

A

9

B

8

C

11

D

13