Integral

[Guest]

Hi everybody!

I need some help to understand the result of a an integral(please see attached image)

Where
ws = 1/2pi fs (which is constant)
Ts = 1/fs

Thanks in advance!

[HallsofIvy]

Your notation is not clear. Are "[tex]I_{2p}[/tex]", "[tex]T_S[/tex]", and "[tex]\omega_S[/tex]" constants? (At first I thought [tex]\omega_St[/tex] was the variable but then I saw that [tex]\omega_S[/tex] dividing the function. If so then [tex]\frac{d\omega_S t}{\omega_S}= \frac{\omega_S}{\omega_S}dt= dt[/tex].

The only problem, then, is determining where [tex]sin(\omega_S t)[/tex] is positive and where it is negative. That is, where [tex]\frac{x}{\omega_S}[/tex] is between 0 and 180 degrees.