   Chapter 4.4, Problem 33E

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 / 6 π / 6 sec 2 x   d x

To determine

To calculate: The value of the definite integral π6π6sec2xdx and to verify it.

Explanation

Given:

The definite integral π6π6sec2xdx.

Formula Used:

The following integration formula holds:

sec2xdx=tanx+c

Calculation:

The integral can be computed as:

π6π6sec2xdx=[tanx]π6

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