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Single Variable Calculus

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Moderate

Integration by Parts Multiple Times

SVCALC-0IIX1A

Evaluate the integral:

$$\int x^4e^x dx$$

A

$x^4e^x+C$

B

$4x^3e^x+C$

C

$x^4e^x-4x^3e^x+12x^2e^x -24xe^x+24e^x+C$

D

$x^4e^x+3x^3e^x-6x^2e^x +6xe^x+C$