   Chapter 8.3, Problem 55E

Chapter
Section
Textbook Problem

Finding an Indefinite Integral In Exercises 49-58, find the indefinite integral. Use a computer algebra system to confirm your result. ∫ 1 sec x tan x d x

To determine

To calculate: The indefinite integral and verify the result using computer algebra system.

Explanation

Given: 1secxtanxdx

Calculation:

Consider the integral,

1secxtanxdx

Rewrite as an integral,

1secxtanxdx=cosxtanxdx=cosxsinxcosxdx=cos2xsinxdx=1sin2xsinxdx

Separate the numerator,

1secxtanxdx=(1sinx−<

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