Prove that `int_- 1^1log((2-x)/(2+x))^(20)dx=0`

Prove that int_(-1)^(1)log((2-x)/(2+x))^(20)dx=0

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

Prove that int_0^1 tan^-1((2x-1)/(1+x-x^2))dx=0

int_(1)^(3)(log x)/((x+1)^(2))dx

int_(1)^(3)(log x)/((x+1)^(2))dx

int_(0)^(1)(log(1+x))/(1+x^(2))dx

Prove that int_(1)^(3)(dx)/(x^(2)(x+1))=(2)/(3)+(log2)/(3)

Prove that int_-a^a f(x) dx=0 , where 'f' is an odd function. And, evaluate, int_-1^1 log[(2-x)/(2+x)] dx

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