   Chapter 6.1, Problem 3CP ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
3 views

# Checkpoint 3Find ∫ ln   2 x   d x .

To determine

To calculate: The value of indefinite integral ln2xdx.

Explanation

Given Information:

The provided indefinite integral is ln2xdx.

Formula used:

The integration by parts udv=uvvdu.

Where, u and v are function of x.

kdx=kx+C

Calculation:

Consider the indefinite integral ln2xdx

Here,

dv=dx and u=ln2x

First find v,

dv=dxdv=dx

On further solving,

v=x …… (1)

Find du:

u=ln2x

Differentiate both side with respect x;

dudx=d(ln2x)dxdudx=22x

And,

du=1xdx …… (2)

Apply integration by parts formula and substitute equation (1) and (2) in udv=uvvdu,

ln2xdx=xln2x

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