If `int (dx)/(1- sin ^(4)x )= a tan x +b tan ^(-1) (c tan x )+ D, ` then:

int tan^(4)x dx = A tan^(3) x+ B tan x + f(x) , then

If int (dx)/(5+4 cos x) = k tan^(-1) (m tan ((x)/(2))) + C then :

If int ( dx )/(5 + 4 sin x) = A tan^(-1) ( B tan ((x)/(2)) + (4)/(3)) + C , then :

If int(dx)/(cos2x+3sin^(2)x)=(1)/(a)tan^(-1)(b tanx)+c, then ab=

int[tan^(-1)(sec x+tan x)]dx

int sin (tan ^ (- 1) x) dx

The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan ^(-1) ((2 tan x+1)/(sqrtA))+C Then the value of A is:

int (dx)/(sqrt(1-tan ^(2) x))=(1)/(lamda)sin ^(-1) (lamda sin x)+C, then lamda=