   Chapter 4.4, Problem 36E

Chapter
Section
Textbook Problem

Evaluating a Definite Integral In Exercises 9–36, evaluate the definite integral. Use a graphing utility to verify your result. ∫ − π / 2 π / 2 ( 2 t + cos t ) d t

To determine

To calculate: The value of the definite integral π2π2(2t+cost)dt and to verify it.

Explanation

Given:

The definite integral π2π2(2t+cost)dt.

Formula Used:

The following integration formula holds:

xkdx=xk+1k+1+ccosxdx=sinx+c

Calculation:

The integral can be computed as:

π2π2(2t+cost

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