- #1
errordude
- 17
- 0
Homework Statement
Hi i would just like some fast hints, I'm doing the integrals wrong, I am splitting up the integral below and get the wrong answer.
well it's about finding the Fourier series for f(t)={0 for -π<t<0 and sint for 0≤t≤π}
Homework Equations
[tex]a_{n} = \frac{1}{\pi}\int_{-\pi}^{\pi}f(t)\cos(nt) dt , n\in Z_{+}[/tex]
The Attempt at a Solution
well i split the integral up in finding [tex]a_{n}[/tex] like
[tex]\frac{1}{\pi}\int_{-\pi}^{\pi}f(t)\cos(nt) dt = \frac{1}{\pi}\int_{-\pi}^{0} 0· dt+\frac{1}{\pi}\int_{0}^{\pi}\sin(t)\cos(nt) dt[/tex]
Both of these elementary, but it fails to produce the right series.
Hints anyone?