Evaluate : `int_-2^2 log(3+x)/(3+x) dx`

Evaluate : int_-2^2 log(2+x)/(2+x) dx

Evaluate : int_-3^3 log(4+x)/(4+x) dx

Prove that if f is an odd function, then int_-a^a f(x)dx =0 . Use it to evaluate int_-1^1 log((2+x)/(2-x)) dx

Evaluate : int_0^(pi/2) log sin x dx .

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

Evaluate int 3x^2 dx

Evaluate int 2x^3 dx

Evaluate int_(-1)^(1)log((2+x)/(2-x))dx