How to find area of a region

Practice Questions

CLEP Calculus › How to find area of a region

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1

What is the area below and above the -axis?

2

Find the average value of on the interval

3

Find the area under the following curve from to .

4

Find the area under the curve bounded by the function and the x-axis.

5

To find area under a curve, you must:

6

Find the value of $\int_{-\infty}^{\infty} \sqrt {9-x^2} \ dx$ .

7

Many times people forget that area under a curve can be found, not only by integration, but also sometimes by using simple geometry.

Find the area under the following function

$f(x)=\left{ \begin{array}{ll} -3x & \quad x \leq 0 \ 4x & \quad x > 0 \end{array} \right.$

on the interval .

8

Find the area under the curve $y=12x^{3}+12x^{2}+ 12x+12$ between and .

9

Find the area under the curve of from .

10

Find the area bounded by and $y=\sqrt x$ .

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