Free Printable Areas and Average Value

1.

Evaluate: $\int_{-2}^6xdx$

(a)

2.

Find the average value of the function graphed on the interval from -6 to 2.

(a)

3.

Which integral has the largest value?

a)

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

b)

$\int_0^4\left(4-x\right)dx$

c)

$\int_0^8\left(4-x\right)dx$

d)

$\int_4^8\left(4-x\right)dx$

4.

Find the average value of the function $f\left(x\right)=x+3$ on the interval $\left[3,9\right]$

a)

$54$

b)

$67.5$

c)

$7.5$

d)

$9$

5.

Find the value of $\int_0^3f\left(x\right)dx$ using the function graphed.

(a)

6.

Find the value of $\int_{-2}^0f\left(x\right)dx$ using the function graphed.

(a)

7.

Find the average value of the function grpahed on the interval

(a)

8.

What is the average value of $f\left(x\right)=\sqrt{4-x^2}$ on $\left[0,2\right]$ ?

a)

$\frac{\pi}{2}$

b)

$\pi$

c)

$2\pi$

d)

$\frac{\pi}{4}$

9.

$\int_0^6\left(\frac{1}{2}x-2\right)dx=$

(a)

10.

Find the average value of $f\left(x\right)=\left|x-3\right|$ on $\left[0,6\right]$

(a)

11.

Find the average value of $f\left(x\right)=\sqrt{16-x^2}+2$ on $\left[-4,4\right]$

a)

$16+8\pi$

b)

$4+2\pi$

c)

$2+\pi$

d)

$3\pi$

12.

Find the average value of $f\left(x\right)=6-2x$ on $\left[-1,4\right]$

a)

3

b)

3.2

c)

10

d)

15

Areas and Average Value

Total questions: 12

Worksheet time: 24mins

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