   Chapter 5, Problem 23RE ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Evaluate the integral, if it exists. ∫ − π / 4 π / 4 t 4 tan t 2 + cos t   d t

To determine

The value of the integral function.

Explanation

Given information:

The integral function is π/4π/4t4tant2+costdt

The region lies between x=π4 and x=π4.

Calculation:

The expression of the function f(t) is shown below:

f(t)=t4tant2+cost

Substitute t for t to check whether the function is odd or even as shown below:

f(t)=(t)4tan(t)2+cos(x

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