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If int1/(x+x^5)dx=f(x)+c ,t h e ne v a l...

If `int1/(x+x^5)dx=f(x)+c ,t h e ne v a l u a t eint(x^4)/(x+x^5)dxdot`

Text Solution

Verified by Experts

The correct Answer is:
`logx-f(x)+C`
`int(x^(4)dx)/(x+x^(5))=int((x^(4)+1)dx)/(x+x^(5))-intdx/(x+x^(5))`
`=int((x^(4)+1)dx)/(x(1+x^(4)))-intdx/(x+x^(5))`
`=intdx/x-intdx/(x+x^(5))`
`=logx-f(x)+C`
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