`int_0^1 tan^-1xdx`

IF int_0^1tan^-1xdx=p ,then int_0^1tan^-1((1-x)/(1+x))dx=

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

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

If int_0^1tan^(-1)xdx=alpha,t h e nint_0^(pi/4)tan^(-1)((2cos^2theta)/(2-sin2theta))sec^2thetadtheta is equal to: alpha (b) alpha/2 (c) 3alpha (d) 2alpha

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

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

int_0^1xtan^(-1)xdx

Evaluate: int_0^1xtan^(-1)xdx