## sauravshakya Group Title What is the exact value of this one year ago one year ago

1. sauravshakya Group Title

|dw:1356270940251:dw|

2. hartnn Group Title

$$\huge \frac{\pi^2}{6}$$

3. sauravshakya Group Title

how?

4. hartnn Group Title

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

5. sauravshakya Group Title

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

6. KorcanKanoglu Group Title

btw, you can write your question with the equation buttom, then you can copy the script and paste it to the question box, it will emerge as an equation :)

7. sauravshakya Group Title

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

8. hartnn Group Title

Fourier Series expansion for f(x) in [0,2pi] $$f(x)=a_0/2+\sum \limits_{n=1}^\infty a_n\cos nx+\sum \limits_{n=1}^\infty b_n\sin nx$$ $a_0=(1/\pi)\int \limits_0^{2\pi}f(x)dx$ $a_n=(1/\pi)\int \limits_0^{2\pi}f(x)\cos nxdx$ $a_0=(1/\pi)\int \limits_0^{2\pi}f(x)\sin nxdx$

9. hartnn Group Title

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

10. hartnn Group Title

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

11. hartnn Group Title

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

12. hartnn Group Title

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

13. sauravshakya Group Title

Thanx for the reply will see it later