" 32."int_(0)^(1)x tan^(-1)xdx

I=int_(0)^(1)tan^(-1)xdx

int_(0)^(1)x sin^(-1)xdx

int_(0)^(1)tan^(-1)xdx

int_(0)^(1)x^(2)tan^(-1)xdx

int_(0)^(1)Tan^(-1)xdx=

int_(0)^( pi)x sin^(-1)xdx

Evaluate the following : int_(0)^(1)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

int_(0)^(1)x^(6)sin^(-1)xdx

int_(0)^(1)x^(2)sin^(-1)xdx