How do you integrate $x^2 e^-x$ ?

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Answer 1 · 2015-10-26T19:24:51

It is

$int x^2*e^-xdx=-e^-x*x^2+int e^-x2xdx=-x^2*e^-x-2x*e^-x+2*int e^-xdx=-e^-x*(x^2+2x+2)+c$

$int f'(x)*g(x)dx=f(x)*g(x)-intf(x)*g'(x)dx$

How do you integrate x^2 e^-xx^2 e^-x?