   Chapter 12, Problem 6RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the integrals in Problems 1-26. 6.   ∫ ( x 3 − 3 x 2 ) 5 ( x 2 − 2 x )

To determine

To calculate: The value of the integral (x33x2)5(x22x)dx.

Explanation

Given Information:

The provided integral is (x33x2)5(x22x)dx

Formula used:

According to the power formula of integrals, if u=u(x) then,

undu=un+1n+1+C

Calculation:

Consider the provided integral:

(x33x2)5(x22x)dx

Multiply and divide by 3 and rewrite the integral as,

13(x33x2)5(3x26x)dx

Consider the power rule of integrals:

undu=un+1n+1+C

Now, to use the power rule, the integrand should have the function u(x) and its derivative u(x) and n1

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