   Chapter 6.2, Problem 17E ### 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 9–36, use the integration table in Appendix C to find the indefinite integral. See Examples 1, 2,3, and 5. ∫ 6 x 1 + e 3 x 2   d x

To determine

To calculate: The solution of indefinite integral 6x1+e3x2dx.

Explanation

Given Information:

The integral is provided as, 6x1+e3x2dx.

Formula used:

The integral formula 11+eudu is,

11+eudu=uln(1+eu)+C

Calculation:

Let u=3x2.

Differentiate the above function with respect to x,

du=3(2x)dx=6xdx

Consider the provided integral,

6x1+e3x2dx

Rewrite.

6x1+e3x2dx=11+e3x26xdx

Substitute u for 3x2, and du for 6xdx

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