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Q 4 8.

Found in: Page 429


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Solve the integral: x ln x dx

The required answer is x24ln (x) -x28+c.

See the step by step solution

Step by Step Solution

Step 1. Given information. 

We have given integral is x ln x dx.

Step 2. Solve the integration by parts .  

We have,

x ln xdx=x2ln xdx=12x ln x dx

u=ln xdu=dxx



The formula of integration by parts is udv=uv-vdu.

localid="1648797136253" 12x ln xdx=12ln x x22-x221xdx=12x22ln x -12xdx=x24ln (x)-x28+c

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