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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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