Question

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 1

Correct Answer - 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`