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If int1/(x+x^5)dx=f(x)+c ,then evaluate ...

If `int1/(x+x^5)dx=f(x)+c` ,then evaluate `int(x^4)/(x+x^5)dxdot`

A

`logx-f(x)+C`

B

`f(x)+logx+C`

C

`f(x)-logx+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have , `I=int(x^(4))/(x+x^(5))dx`
`rArr I=int((x^(4)+1)-1)/(x+x^(5))dx`
`rArr I= int(1)/(x)dx-int(1)/(x+x^(5))dx=logx-f(x)+C`
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