What is the integral of (x^2)e^x ?

The integral of (x^2)e^x is x^2e^x-2(e^xx-e^x)+C

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integral of (x^2)e^x

integral

(x^{2}) e^{x}

x^{2} e^{x} - 2 (e^{x} x - e^{x}) + C

Solution steps

\int x^{2} e^{x} d x

Apply Integration By Parts

: x^{2} e^{x} - \int 2 x e^{x} d x

= x^{2} e^{x} - \int 2 x e^{x} d x

\int 2 x e^{x} d x = 2 (e^{x} x - e^{x})

= x^{2} e^{x} - 2 (e^{x} x - e^{x})

Add a constant to the solution

= x^{2} e^{x} - 2 (e^{x} x - e^{x}) + C

\frac{1}{( e ^{x} ) ^{2}}

\frac{arccos ( x )}{1 - x ^{2}}

\frac{x ^{2}}{( x ^{2} - a ^{2} )}

\frac{( 3 x + 10 )}{( x - 2 )}

x \cdot ln (x - 1)

What is the integral of (x^2)e^x ?
The integral of (x^2)e^x is x^2e^x-2(e^xx-e^x)+C