What is $$\int {{{dx} \over {x{{(1 + \ln x)}^n}}}} $$ equal to (n $$\ne$$ 1) ?

What is $$\int {\ln ({x^2})dx} $$ equal to?

What is $$\int {{e^{x\ln (a)}}} dx$$ equal to ?

Consider the following for the two (02) items that follow:

Let the function y = (1 - cos x)^-1 where$x \ne 2n\pi$ and n is an integer

What is ∫ydx equal to? 

where c is the constant of integration.