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

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

A

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

B

`2x^(2)e^((x)/(2))-8xe^((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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