   Chapter 8.6, Problem 21E

Chapter
Section
Textbook Problem

# Finding an Indefinite Integral In Exercises 17–38, use integration tables to find the indefinite integral. ∫ 4 x ( 2 − 5 x ) 2 d x

To determine

To calculate: The value of the indefinite integral 4x(25x)2dx by using integration tables.

Explanation

Given:

The integral is 4x(25x)2dx.

Formulae used:

Formula from table of integrals involving a+bu,

u(a+bu)2du=1b2(aa+bu+ln|a+bu|)+C

Where, u is a variable, and a,b are constant variables.

Calculation:

Consider the integral y=4x(25x)2dx.

Hence, y=4x(2+(5)x)2dx

Let u=x and du=dx.

Hence a=2 and b=5

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Study Guide for Stewart's Multivariable Calculus, 8th 