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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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Integrating an Exponential Function In Exercises 1–12, find the indefinite integral. See Examples 1, 2, and 3.

( 2 x + 1 ) e x 2 + x d x

To determine

To calculate: The indefinite integral (2x+1)ex2+xdx.

Explanation

Given Information:

The provided indefinite integral is (2x+1)ex2+xdx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

(2x+1)ex2+xdx

Let u=x2+x, then derivative will be,

du=d(x2+x)=(2x+1)dx

Rewrite the integral as:

ex2+x(2x+1)dx

Substitute du for (2x+1)dx and u for x2+x in provided integration

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