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

int dx/(1+sin 2x) =

int(dx)/((sin^(-1)x)sqrt(1-x^(2)))

int (tan x dx)/(1-sin x)=(1)/(2)[(1)/(1-sin x)+log|secx-tan x|]+c

int(1)/(1+sin2x)dx

int(2)/(1-sin2x)dx

int(cos x)/((1+sin x)(2+sin x))dx

int(cos x)/((1-sin x)(2-sin x))dx

Let I=int(dx)/(1+3sin^(2)x)=(1)/(2)tan^(-1)(2f(x))+C (where, C is the constant of integration). If f((pi)/(4))=1 , then the fundamental period of y=f(x) is

Let I=int(dx)/(1+3sin^(2)x)=(1)/(2)tan^(-1)(2f(x))+C (where, C is the constant of integration). If f((pi)/(4))=1 , then the fundamental period of y=f(x) is