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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 5 and 6, use integration by parts to find the indefinite integral.

2 x e 2   d x

To determine

To calculate: The indefinite integral 2xexdx.

Explanation

Given Information:

The provided indefinite integral is 2xexdx.

Formula used:

The rule of integrals by part:

[u(x)v(x)]dx=u(x)[v(x)]dx[ddxu(x)[v(x)]dx]dx

The derivative of function:

ddxxn=nxn1+C

Calculation:

Consider the indefinite integral:

2xexdx

Now apply integration by part by considering 2x as first function ex and second function,

[(2x)(ex)]dx=2x

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