   Chapter 5, Problem 34RE ### 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, if it exists. ∫ x 1 − x 4 d x

To determine

The value of the integral function.

Explanation

Given information:

The integral function is x1x4dx.

Calculation:

Consider x2 as u,

u=x2 (1)

Differentiate both sides of the Equation.

du=2xdx (2)

Rearrange equation (2) to find the value of xdx as shown below:

xdx=12du (3)

Substitute u for x2 and 12du for xdx in the function as shown below:

x1x4dx=11u2(12du)=12

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 