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Evaluate "if " int(1)/(x+x^(5))dx=f(x)...

Evaluate ` "if " int(1)/(x+x^(5))dx=f(x)+c," then " int(x^(4))/(x+x^(5))dx`.

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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