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int x^(2) e ^((x)/(2)) dx is...

`int x^(2) e ^((x)/(2)) dx ` is

A

`x^2e^(x/2) - 4xe^(x/2) - 8e^(x/2) + c`

B

`2x^2 e^(x/2) - 8xe^(x/2) - 16e^(x/2) + c`

C

`2x^2 e^(x/2) - 8xe^(x/2) + 16e^(x/2) + c`

D

`x^2 (e^(x/2))/(2) - (xe^(x/2))/(4) + (e^(x/2))/(8) + c`

Text Solution

Verified by Experts

The correct Answer is:
C
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