   Chapter 6, Problem 7TYS ### 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

# In Exercises 5–7, use the integration table in Appendix C to find the indefinite integral. ∫ 2 x 5 x 4 − 9   d x

To determine

To calculate: The value of indefinite integral 2x5x49dx.

Explanation

Given Information:

The integral is provided as:

2x5x49dx

Formula used:

The formula 24 for integral u2u2±a2du is:

u2u2±a2du=18[u(2u2±a2)u2±a2a4ln|u+u2±a2|]+C

General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider u=x2.

Differentiate the considered function with respect to t using power rule of differentiation.

du=2xdx

Consider the provided integral:

2x5x49dx

Rewrite.

2x5x49dx=(x2)2((x2)232)2xdx

Here, a=3, u=x2 and du=2dx.

Substitute u for x2, a for 3, and du for 2xdx

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