Chapter 8.7, Problem 23E

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding an Indefinite Integral In Exercises 19-40, use a table of integrals to find the indefinite integral. ∫ x ( 7 − 6 x ) 2   d x

To determine

To calculate: The value of the indefinite integral x(76x)2dx using the table of integrals.

Explanation

Given: We are given with the Indefinite integral expression âˆ«x(7âˆ’6x)2dx.

Formula used:

We will use formula 4 from the table of integrals:âˆ«u(a+bu)2du=1b2(aa+bu+ln|a+bu|)+C

Calculation:

Compare the form of given Indefinite Integral with Formula 4 involving a+bu:

âˆ«u(a+bu)2du=1b2(aa+bu+ln|a+bu|)+C

We assume that a=7,b=âˆ’6 and u=x

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