How can I use Wolfram|Alpha to compute the Fourier series (with real coefficients $a_0, a_n$ and $b_n$)? (The 'Fourier series' command seems to summon the complex series)
I.e. $f(x) = x + \pi$ for $-\pi < x < 0$ and $f(x) = \pi - x$ for $0 \leq x < \pi$
$\Rightarrow f(x) \approx \pi/2 + 4/\pi(cos x + \dfrac 1 3 cos 3x + \dfrac 1 5 cos 5x + \cdot \cdot \cdot)$
I know I can use indefinite or definite integrals to check the integration itself, but I'd be interesting to see a complete solution aid.