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Q 41.

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: x2+1exdx

The required answer is -2xex-x2+1ex-2e-x+C.

See the step by step solution

Step by Step Solution

Step 1. Given information. 

We have given integral is x2+1exdx.

Step 2. Solve the integration by parts .  

We have,



role="math" localid="1648720139610" dv=e-x dxv=e-x dxv=-1ex

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

role="math" localid="1648720506794" x2+1exdx=x2+1-1ex--1exdx=-1exx2+1--2xexdx=-1exx2+1+2xexdx

Step 3. Integration by parts.

We have, u=xdu=dx

and dv=e-xdxv=e-xdxv=-1ex


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