Fourier sine series example

I use tabular integration in this video. Learn tabular integration here:
My lecture videos are organized at:

[thetedmang]

Thank god you have a video on this topic; you're the man.

[SuHninWai-lv]

Can you please show me how to calculate a fourier sine series?

[ziadahmed]

If this is true then why when we evaluate x with a number the two sides don't give the same answer
For example if we put x=0
The L.H.S = 2
But the R.H.S = 0

[SuHninWai-lv]

f(x)=sin180x/l for 0<x<l/l2 fourier sine series please please

[SuHninWai-lv]

Can you please show me how to calculate a fourier sine series?😢

[AndyFilmsUK]

The way you have worked out Wn to be ( pi * n ) / 5, is this specific to fourier sine series? For fourier cosine series, is Wn still (2*pi*n)/T ?

[kiennnguyen]

I don't understand the way he integrate bn, someone explains for me please ?