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Evaluate: inte^x\ (1/(x^2)-2/(x^3))\ dx...

Evaluate: `inte^x\ (1/(x^2)-2/(x^3))\ dx`

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`int e^{x}(frac{1}{x^{2}}-frac{2}{x^{3}}) d x`
` =int e^{x} cdot frac{1}{x^{2}} d x-2 int frac{e^{x}}{x^{3}} d x`
` =int e^{x} cdot x^{-2} d x-2 int frac{e^{x}}{x^{3}} d x`
` =int x_{1}^{-2} e^{x} d x-2 int frac{e^{x}}{x^{3}} d x`
` =x^{-2} int e^{x} d x-int[frac{d}{d x}(x^{-2}) int e^{x} d x] d x`
` =x^{-2} e^{x}-int-2 x^{-3} e^{x} d x-2 int frac{e^{x}}{x^{3}} d x+C`
` =x^{-2} e^{x}+2 int frac{e^{x}}{x^{3}} d x-2 int frac{e^{x}}{x^{3}} d x+C`
` =x^{-2} e^{x}+C`
`
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