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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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Checkpoint 5 Worked-out solution available at LarsonAppliedCalculus.com

Find x + 2 x d x .

To determine

To calculate: The value of indefinite integral x+2xdx.

Explanation

Given Information:

The provided indefinite integral is x+2xdx.

Formula used:

The sum rule of integration [f(x)g(x)]dx=f(x)dxg(x)dx.

The simple power rule of integration, xndx=xn+1n+1+C.

Calculation:

Consider the indefinite integral, x+2xdx.

Rewrite the provide indefinite integral, use the basic integral rule, kf(x)dx=kf(x)+C.

x+2xdx=xxdx+2xdx

Integrate the provided indefinite integral.

x+2xdx=xx12dx+2x12dx=xx12dx+2x12dx=

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