1.

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`A. `logx-f(x)+C`B. `f(x)+logx+C`C. `f(x)-logx+C`D. None of these

Answer» Correct Answer - 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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