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Q 28.

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: xsinx dx

The required answer is -xcosx+sinx+c.

See the step by step solution

Step by Step Solution

Step 1. Given information. 

We have given integral is xsinx dx.

Step 2. Solve the integration by parts . 

We have,



localid="1648636397500" dv=sinx dxv=sinx dxv=-cosx

The formula of integration by parts is localid="1648645366461" udv=uv-vdu

x sinx dx=x(-cosx)-(-cosx)dx=-xcosx+cosx=-xcosx+sinx+c

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