   Chapter 13.5, Problem 29E ### 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 1-32. Identify the formula used. ∫ x   d x 7 − 3 x 2

To determine

To calculate: The value of integral xdx73x2.

Explanation

Given Information:

The provided integral is xdx73x2.

Formula used:

For any variable u, the integral formula is,

duu=u1du=ln|u|+C

Differentiation of un with respect to u is nun1

Calculation:

Consider the provided integral:

xdx73x2

Multiply and divide the integral by 6.

166xdx73x2

Let 73x2=t

Differentiate both the sides,

6xdx=dt

So the integral now becomes,

16

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