   Chapter 8.5, Problem 22E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Integrating a Trigonometric Function In Exercises 1–32, find the indefinite integral. See Examples 1, 2, 3, 4, 5, and 8. ∫ sec   x 2   d x

To determine

To calculate: The integral of secx2dx.

Explanation

Given Information:

The provided integral is secx2dx.

Formula used:

Write the formula of integral of secu.

secudu=ln|secu+tanu|+C

Write the formula for derivative of un.

ddxun=nun1

Calculation:

Consider u=x2.

Differentiate the above considered function.

du=12dx

The provided integral is,

secx2dx

Multiply and divide by 2.

secx2dx=2(secx2)12dx

Substitute u for x2 and du for 12dx

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