Evaluate : `int log (1+x^2)dx`.

Evaluate , int log(4+x^2) dx.

Evaluate int log x dx

Evaluate, int log(2+x^2) dx.

Evaluate int 5^(log _(e)x)dx

Evaluate int x^(2)log (1-x^(2))dx , and hence prove that (1)/(1.5)+(1)/(2.7)+(1)/(3.9)+...=2/3 log 2 - 8/9 .

Evaluate: int (x-1/x)^2 dx