33\int \frac{1}{x(1+x^n)}dx
14 Answers
62\frac{1}{x(x^{n}+1)} = \frac{x^{n-1}}{x^n(x^{n}+1)}
Now this is simple :)
39half was done by nishant bhaiyan only, that was main.
now let xn= t dx= dt/nxn-1
now subst in the integral, it besomes 1/n ∫ 1/t(t+1)
= 1/n ∫ [ 1/t-1/(t+1) ]
now its done