int tan^(-1)sqrt(x)dx" is equal to : "

int tan(sin^(-1)x)dx is equal to

int tan^(-1){sqrt(sqrt(x)-1)}dx is equal to

int(sqrt(x-1))/(x sqrt(x+1))dx " is equal to "

int(sqrt(x-1))/(x sqrt(x+1))dx " is equal to "

int(sqrt(x-1))/(x sqrt(x+1))dx " is equal to "

int sqrt((x)/( 1-x))dx is equal to

int sqrt(sec x - 1) dx is equal to

int sqrt(e^(x)-1) dx is equal to :

int sqrt(1+x^2) dx = is equal to

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