   Chapter 8.3, Problem 33E

Chapter
Section
Textbook Problem

Finding an Indefinite Integral Involving Secant and Tangent In Exercises 21-34, find the indefinite integral. ∫ tan 2 x sec x   d x

To determine

To calculate: The value of the indefinite integral tan2xsecxdx.

Explanation

Given:

The indefinite integral:

tan2xsecxdx

Formula used:

The derivative formula:

ddxsecax=asecaxtanax

The integral formula:

tndt=tn+1n+1+C

Calculation:

Consider the specified integral:

tan2xsecxdx=sec2x1secxdx

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