4.` int x^(2)*tan^(-1)x*dx`

int(tan^(-1)x)/(x^(2))*dx

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(x^(2)tan^(-1)x)/(1+x^(2))dx

If 2int_(0)^(1)tan^(-1)xdx=int_(0)^(1)cot^(-1)(1-x+x^(2))dx then int_(0)^(1)tan^(-1)(1-x+x^(2))dx=

int(1)/(1+tan ^(2)x)dx

int(1)/((1+x^(2))tan^(-1)x)dx

" (i) "int(e^(tan^(-1)x)dx)/((1+x^(2))

Evaluate : int (tan^(-1)x)^(4)/(1+x^2) dx

If int(tan^(2)x+tan^(4)x)dx=((1)/(n))tan^(n)x+c, then n=