Integrating (e^x)(1-x^2)

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September 29th 2012, 01:01 PM
Duta

Integrating (e^x)(1-x^2)

What is the integration of e^x(1-x²) ?
September 29th 2012, 01:12 PM
Siron

Re: Integrating (e^x)(1-x^2)

$\int e^x(1-x^2)dx = \int (e^x-e^xx^2)dx = \int e^x dx - \int e^xx^2dx = e^x - \int x^2e^xdx$

To calculate $\int x^2 e^x dx$ use integration by parts.

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