For fourier series of piecewise function , do we take period of whole thing, just each pieces?

Question

akshay_budhkar · Answer

i wish i knew it!! it was have been a privilege helping you :P

anonymous · Answer

f(x) =   x          0<x<Pi
           x+pi   -pi<x<0

anonymous · Answer

$$a_0=\frac{1}{\pi }\int_{-\pi }^0 (x+\pi ) \, dx+\int_0^{\pi } x \, dx$$

anonymous · Answer

i should probably keep quiet because i know next to nothing about this, but i recall that in example i have seen you perform the transform on each piece separately http://www.stat.ucla.edu/~dinov/courses_students.dir/04/Spring/Stat233.dir/STAT233_notes.dir/FFT.html

anonymous · Answer

Let me try it

anonymous · Answer

$$a_n=0$$

anonymous · Answer

$$b_n=-\frac{1+(-1)^n}{n}$$

anonymous · Answer

I got 
$$\frac{\text{Pi}}{2}+\sum _{n=1}^{\infty } b_n\text{Sin}[n t]$$