" (ii) "(x tan^(-1)x^(2))/(1+x^(4))

Evaluate: ( i ) int(x)/(sqrt(x^(2)+a^(2))+sqrt(x^(2)-a^(2)))dx (ii) int(x tan^(-1)x^(2))/(1+x^(4))dx

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

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

9. int(x tan^(-1)x^(2))/(1+x^(4))dx

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

int x(e^(tan^(-1)x^(2)))/(x^(4)+1)dx equals

f(x)=tan^(-1)x-(2)/(pi)(tan^(-1)x)^(2)+(4)/(pi^(2))(tan^(-1)x)^(3)-....oo, then the sum of integral values of a for which the equation f^(2)(x)+(sin^(-1)x)^(2)=a, possess solution,is:

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

tan ^ (-1) (x + (2) / (x))-tan ^ (-1) ((4) / (x)) = tan ^ (-1) (x- (2) / (x))