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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

`e^(5x)[(x^(3))/(5)-(3x^(2))/(25)+(6x)/(125)-(6)/(625)]+c`

B

`e^(5x)[(x^(3))/(5)-(3x^(2))/(25)-(6x)/(125)-(6)/(625)]+c`

C

`e^(5x)[(x^(3))/(5)+(3x^(2))/(25)+(6x)/(125)-(6)/(625)]+c`

D

`e^(5x)[(x^(3))/(5)-(3x^(2))/(25)+(6x)/(125)+(6)/(625)]+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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