#8747;xex #160;dxTaking #160;x #160;as #160;the #160;first #160;function #160;and #160;ex #160;as #160;the #160;second #160;function. ...

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Properties of Integers Using Literals

#8747;xex #...

Question

$\int x e^{x} d x$

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Solution

$\int x e^{x} d x Taking x as the first function and e^{x} as the second function . = x \int e^{x} d x - \int \{\frac{d}{d x} (x) \int e^{x} d x\} d x = x e^{x} - \int 1 (e^{x}) d x = x e^{x} - e^{x} + C = (x - 1) e^{x} + C$

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