Integration of `Sinx` in different range

Integrating factor of the differential equation (cosx)(dy)/(dx)+y.sinx=1 is

Integration of sin and cos function in different intervals

Integrate: ∫dx/(1-Sinx)

Integration of trigonometric and hyperbolic functions I=int(dx)/(sinx(2+cosx-2sinx)).

Integration of sin^(^^)2x or cos^(^^)2x in diffrent range

Integration of trigonometric and hyperbolic functions I=int(dx)/(5+sinx+3cosx).

INDEFINITE INTEGRATION Shortcut || Integration of Form (a Sinx + b Cos x)/(c Sin x+ d Cos x)

Integrate the functions x sinx

The integral I=inte^(x)((1+sinx)/(1+cosx))dx=e^(x)f(x)+C (where, C is the constant of integration). Then, the range of y=f(x) (for all x in the domain of f(x) ) is

Integrate the following : int x sinx dx .