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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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Integration by Parts In Exercises 5-16, use integration by parts to find the indefinite integral, See Examples 1, 2, 3, and 4.

ln 5 x d x

To determine

To calculate: The value of indefinite integral ln5xdx.

Explanation

Given Information:

The provided indefinite integral is ln5xdx.

Formula used:

The integration by parts udv=uvvdu.

Where, u and v are function of x.

kdx=kx+C

Calculation:

Consider the indefinite integral ln5xdx

Here,

dv=dx and u=ln5x

First find v,

dv=dxdv=dx

On further solving,

v=x …...…... (1)

Find du:

u=ln5x

Differentiate both side with respect x;

dudx=d(ln5x)dxdudx=55x

And,

du=1xdx …...…..

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