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\(\huge \frac{\pi^2}{6}\)

how?

which method do u want? i know the one using Fourier Transform...

Any easy method....
I havent learn Fourier Transform

U can do it using Fourier Transform ....
I will try to catch it

here, use \(f(x)=(\frac{\pi-x}{2})^2\)

and find Fourier series Expansion of f(x)
u should get, bn=0
an=1/n^2

sorry, the last one is bn
\[b_n=(1/\pi)\int \limits_0^{2\pi}f(x)\sin nxdx\]

this really is the longer way to do it...

Thanx for the reply
will see it later