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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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.

7 x 3 e 7 x 2 d x

To determine

To calculate: The solution of indefinite integral 7x3e7x2dx.

Explanation

Given Information:

The expression is provided as, 7x3e7x2dx.

Formula used:

The integral formula is,

ueudu=(u1)eu+C

Calculation:

Let u=7x2.

Differentiate with respect to x,

du=7(2x)dx=14xdx

Consider the provided expression,

7x3e7x2dx

Multiply and divide by 2.

7x3e7x2dx=11414(7x3e7x2)dx=114(7x2e7x2)14xdx

Substitute u for 7x2, and du for 14xdx

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