   Chapter 8.5, Problem 8CP ### 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
1 views

# Find ∫ sec   2 x   d x .

To determine

To calculate: The integral of sec2xdx.

Explanation

Given Information:

The provided integral is sec2xdx.

Formula used:

Formula of integral of secu.

secudu=ln|secu+tanu|+C

Formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=2x.

Differentiate the above considered function.

du=2dx

The provided integral is,

sec2xdx

Multiply and divide by 2.

sec2xdx=12(sec2x)2dx

Substitute u for 2x and du for 2dx

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