What is the integration of e^{x}(1-x^{2}) ?

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- Sep 29th 2012, 01:01 PMDutaIntegrating (e^x)(1-x^2)
What is the integration of e

^{x}(1-x^{2}) ? - Sep 29th 2012, 01:12 PMSironRe: Integrating (e^x)(1-x^2)
$\displaystyle \int e^x(1-x^2)dx = \int (e^x-e^xx^2)dx = \int e^x dx - \int e^xx^2dx = e^x - \int x^2e^xdx$

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