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## Homework Statement

Hi i would just like some fast hints, i'm doing the integrals wrong, im 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?