Application of Integrals — Course Quiz

Find the area under

y = 2x + 1

between

x = 0

and

x = 2

.

A

4

B

5

C

10

D

6

Find the area under

y = x^3

between

x = 0

and

x = 2

.

A

2

B

16

C

4

D

8

Find the area bounded by

y = x

, the

x

-axis and the lines

x = -1

,

x = 1

.

A

1

B

0

C

2

D

\displaystyle \tfrac{1}{2}

Using integration, the area of the circle

x^2 + y^2 = 9

is

A

6\pi

B

81\pi

C

9\pi

D

3\pi

Find the area of the region bounded by

y^2 = 16x

and the line

x = 4

.

A

64

B

\displaystyle \tfrac{128}{3}

C

\displaystyle \tfrac{64}{3}

D

32

Find the area between

y = x^2

and

y = 3x

.

A

9

B

\displaystyle \tfrac{27}{2}

C

\displaystyle \tfrac{9}{2}

D

\displaystyle \tfrac{3}{2}

Find the area between the parabola

y = 9 - x^2

and the

x

-axis.

A

54

B

18

C

36

D

27

Find the area in the first quadrant between

x^2 = 4y

, the

y

-axis and the lines

y = 1

,

y = 9

.

A

\displaystyle \tfrac{52}{3}

B

\displaystyle \tfrac{112}{3}

C

36

D

\displaystyle \tfrac{104}{3}

The area of the ellipse

\displaystyle \dfrac{x^2}{4} + y^2 = 1

is

A

2\pi

B

4\pi

C

\pi

D

5\pi

Find the area between

y = x^2 - 1

and the

x

-axis for

0 \le x \le 2

.

A

2

B

\displaystyle \tfrac{8}{3}

C

\displaystyle \tfrac{2}{3}

D

\displaystyle \tfrac{4}{3}

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Application of Integrals — Course Quiz

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