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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))+0_(3)` then `f(x)=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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