the value of ∫(\frac{dx}{x(1+log,x)^3}) is \_\_\_\_\_\_\_ | Mathematics | SolveeIt

the value of ∫ $\frac{dx}{x(1+log\,x)^3}$ is _______

$-\frac{x}{(1+log\,x)^2}$$+c$

$-\frac{x}{(1+log\,x)^2}+c$

$-\frac{1}{2(1+log\,x)^2}+c$

$\frac{2}{(1+log\,x)^2}+c$

Answer

$-\frac{1}{2(1+log\,x)^2}+c$

Explanation

The correct option is (C): $-\frac{1}{2(1+log\,x)^2}+c$

Mathematics Question on Integration by Parts