Find the value of `int a^(log x)dx,x>0,a>0`

Find the value of int((1+log x)^(2))/(x) dx

Find the value of int(cos(log x))/(x)backslash dx

Let A=int_(0)^(oo)(log x)/(1+x^(3))dx Then find the value of int_(0)^(oo)(x log x)/(1+x^(3))dx in terms of A

int_(0)^(1)(log x)dx

int_(0)^(1)log(3+x)dx

The value of int x log x (log x - 1) dx is equal to

Evaluate : int_0^(ln2)x e^(-x)dx