   Chapter 5, Problem 45RE ### 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

# Using the Exponential and Log Rules In Exercises 35-46, find the indefinite integral. ∫ x 2 1 − x 3   d x

To determine

To calculate: The indefinite integral x21x3dx.

Explanation

Given Information:

The provided indefinite integral is x21x3dx.

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

Calculation:

Consider the indefinite integral:

x21x3dx

Let u=1x3, then derivative will be,

du=d(1x3)=3x2dx

Rewrite the integral by as:

133x2dx1x3

Substitute du for 3x2dx and u for 1x3 in provided integration

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