   Chapter 5.5, Problem 37E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Evaluate the indefinite integral. ∫ sinh 2 x cosh x   d x

To determine

To evaluate: The indefinite integral.

Explanation

Given:

The indefinite integral function is sinh2xcoshxdx.

Calculation:

Consider u=sinhx

Differentiate both sides of the Equation.

du=coshxdx

The indefinite integral function is,

sinh2xcoshxdx. (1)

Substitute u for (sinhx) and du for (coshxdx) in Equation (1).

sinh2xcoshxdx=u2du (2)

Integrate Equation (2)

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