`int(dx)/(1+Tan^(2)x)`

It is given that int (dx)/(1+x^(2))=tan^(-1) x+c . Using methods of dimensions find int (dx)/(a^(2)+x^(2)) .

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

int(dx)/(1-tan x)

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

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

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

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

Evaluate : int sqrt(tan x) (1+ tan^(2)x)dx

int(dx)/(1+sin x)=tan((x)/(2)+a)+b then find the values of a and b