Chapter 4.1, Problem 18E

### 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 15-36, find the indefinite integral and check the result by differentiation. ∫ ( 9 x 8 − 2 x − 6 ) d x

To determine

To calculate: The value of the indefinite integral (9x82x6)dx and to verify it.

Explanation

Given:

The indefinite integral âˆ«(9x8âˆ’2xâˆ’6)dx.

Formula Used:

The following integration formula holds:

âˆ«xkdx=xk+1k+1+c

Calculation:

The indefinite integral can be computed as:

âˆ«(9x8âˆ’2xâˆ’6)dx=9âˆ«x8dxâˆ’2âˆ«xdxâˆ’6âˆ«1dx=9(x99)âˆ’2(<

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th