   Chapter 6, Problem 20RE ### 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
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# Using Integration Tables In Exercises 19–22, use the indicated formula from the integration table in Appendix C to find the indefinite integral. ∫ 1 1 + e 6 x   d x ,   Formula   40

To determine

To calculate: The value of indefinite integral 11+e6xdx.

Explanation

Given Information:

The integral is provided as:

11+e6xdx

Formula used:

The formula 40 for integral 11+enudu is:

11+enudu=u1nln(1+enu)+C

General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider u=x.

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

du=dx

Consider the provided integral:

11+e6xdx

Here, n=6, u=x and du=dx.

Substitute u for x, n for 6, and du for dx

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