Free Printable AP Calculus Unit 6A Multiple Choice Qs

1.

$\int_0^{\frac{\pi}{4}\ }\sin x\ dx\ =$

a)

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

b)

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

c)

$-\frac{\sqrt{2}}{2}-1$

d)

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

e)

$\frac{\sqrt{2}}{2}-1$

2.

(No calculators!)

a)

A

b)

B

c)

C

d)

D

e)

E

3.

$\int_1^e\ \frac{x^2-1}{x}dx\ =$

a)

$e-\frac{1}{e}$

b)

$e^2-e$

c)

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

d)

$e^2-2$

e)

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

4.

a)

A

b)

B

c)

C

d)

D

e)

E

5.

If $\int_{-5}^2\ f\left(x\right)dx\ =\ -17$ and $\int_5^2\ f\left(x\right)dx\ =-4$ , what is the value of $\int_{-5}^5\ f\left(x\right)dx$ ?

a)

-21

b)

-13

c)

0

d)

13

e)

21

6.

The table gives values of a function $f$ and its derivative at selected values of x. If $f'$ is continuous on the interval [-4, -1], what is the value of $\int_{-4}^{-1}f'\left(x\right)dx$ ?

a)

-4.5

b)

-2.25

c)

0

d)

2.25

e)

4.5

7.

If a trapezoidal sum overapproximates $\int_0^4f\left(x\right)dx$ , and a right Riemann sum underapproximates $\int_0^4f\left(x\right)dx$ , which of the following could be the graph of $y=f\left(x\right)$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

8.

The regions A, B, and C in the figure are bounded by the graph of the function f and the x-axis. If the area of each region is 2, what is the value of $\int_{-3}^3\left(f\left(x\right)+1\right)dx$ ?

a)

-2

b)

-1

c)

4

d)

7

e)

12

9.

a)

0

b)

1

c)

2

d)

3

e)

4

AP Calculus Unit 6A Multiple Choice Qs

Total questions: 9

Worksheet time: 27mins

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