int(dx)/(3sin^(2)x+1)

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

int(dx)/(1+3sin^(2)x)

Evaluate : (i) int(dx)/((1+3sin^(2)x)) (ii) int(dx)/((3+2cos^(2)x))

Evaluate the following integrals: int(dx)/(1+3sin^2x)

int(dx)/(3+sin2x)=(1)/(sqrt(k))Tan^(-1)((3Tan x+1)/(sqrt(8)))+C where k is

int (dx)/(1+3 sin^(2)x)dx is :

Evaluate int (dx)/(sin^(1/2)xcos^(3/2)x)

int(1)/(3-2sin^(2)x)dx

int(1)/(3-2sin^(2)x)dx