`int_0^1 tan^-1xdx`

Prove that: int_0^1tan^-1.(1/(1-x+x^2))dx=2int_0^1tan^-1xdx

Show that: int_0^1 tan^-1x/xdx=1/2int_0^(pi/2) ycosecy dy

int_0^1 (tan^-1x)/xdx-1/2int_0^(pi/2) t/sint dt has the value (A) -1 (B) 1 (C) 2 (D) 0

If v_n=int_0^1x^n tan^-1xdx , show that: (n+1)u_n+(n-1)u_(n-2)=pi/2-1/n

IF int_e^1tan^-1xdx=p ,then int_e^1tan^-1((1-x)/(1+x))dx=

Evaluate: int_0^1 sin^-1x/xdx

int x*tan^(-1)xdx

int x tan^(-1)xdx

If 2int_(0)^(1) tan^(-1)xdx=int_(2)^(1)cot^(-1)(1-x+x^(2))dx . Then int_(0)^(1) tan^(-1)(1-x+x^(2))dx is equal to