   Chapter 8.5, Problem 50E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding Area by Integration In Exercises 47-52, find the area of the region. See Example 7. y = x 2 + cos x To determine

To calculate: The area bounded by the graph of y=x2+cosx.

Explanation

Given Information:

The provided graph of y=x2+cosx can be shown as:

Formula used:

The formula of definite integral of abcosudu.

abcosudu=[sinu]ab

The formula of definite integral of abundu.

abundu=[un+1n+1]ab

Calculation:

From provided diagram, the interval [a,b] will be [0, π]. Therefore, area bounded by graph of y=x2+cosx can be calculated as,

0π(x2+cosx)dx=0πx2dx+0πcosxdx=120πxdx+0πcosxdx

Integrate with the help of above integration formulae

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