   Chapter 8.5, Problem 42E ### 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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# Evaluating a Definite Integral In Exercises 39-46, evaluate the definite integral. See Example 6. ∫ 0 π / 2 ( x + cos x )   d x

To determine

To calculate: The value of definite integral 0π/2(x+cosx)dx.

Explanation

Given Information:

The provided integral is 0π/2(x+cosx)dx.

Formula used:

Write the formula of definite integral of abcosudu.

abcosudu=[sinu]ab

Write the formula of definite integral of abundu.

abundu=[un+1n+1]ab

Here, n is the any integer.

Calculation:

The provided integral is,

0π/2(x+cosx)dx

Rewrite.

0π/2(x+cosx)dx=0π/2xdx+0π/2(cosx)dx

Integrate with the help of integration formulae

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