   Chapter 5.5, Problem 5E ### 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 integral by making the given substitution. ∫ x 3 x 4 − 5 d x ,   u = x 4 − 5

To determine

To evaluate: The integral using substitution.

Explanation

Given:

The integral function is x3x45dx.

The substitution is u=x45.

Calculation:

Consider u=x45

Differentiate both sides of the equation.

du=4x3dxdx=14x3du

The integral function is,

x3x45dx (1)

Substitute u for (x45) and (14x3du) for dx in Equation (1)

x3x45

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