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If intx^(3).e^(-x)dx=-e^(-x).f(x)+c, the...

If `intx^(3).e^(-x)dx=-e^(-x).f(x)+c,` then `f(x)=`

A

`x^(3)-3x^(2)+6x-6`

B

`-x^(3)+3x^(2)-6x+6`

C

`x^(3)-3x^(2)+6x+6`

D

`x^(3)+3x^(2)+6x+6`

Text Solution

Verified by Experts

The correct Answer is:
D
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