`∫ dx/(Cosx + Sin x)`

int(dx)/(sin x cosx) =

int (cos 2x)/(cosx^(2) sin^(2)x) dx = ?

Let a solution y=y(x) of the differential equation (dy)/(dx)cosx+y sin x-1 satisfy y(0)=1 Statement-1: y(x)=sin((pi)/(4)+x) Statement-2: The integrating factor of the given differential equation is sec x.

int(sin x-cos x)/((cosx+sinx))dx=

int (dx)/(cosx sqrt(sin^2x-cos^2x))=

int e^(x)(cosx+sin x)dx" is equal to "

int(cosx)/(sin^3 x)dx