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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
Let`" "l=int(x^(4))/(x+x^(5))dx=int(x^(4)+1-1)/(x+x^(5))dx`
`rArr" "l=int(1)/(x)dx-int(1)/(x^(5)+x)dx`
`rArr" "l=logx-[f(x)+C]" [Given]"`
`rArr" "l=logx-f(x)+C_(1)" "["where, "C_(1)=-C]`
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