If int x^(3)e^(5x)dx=(e^(5x))/(5^(4))(f(...

If `int x^(3)e^(5x)dx=(e^(5x))/(5^(4))(f(x))+c` then `f(x)=`

A

(a) `x^(3)/5-(3x^(2))/5^(2)+(6x)/5^(3)-6/5^(4)`

B

(b) `5x^(3)-5^(2)x^(2)+5^(3)x-6`

C

(c) `5^(2)x^(3)-15x^(2)+30x-6`

D

(d) `5^(3)x^(3)-75x^(2)+30x-6`

Verified by Experts

The correct Answer is:

D

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