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Hr.Tboy
 2 years ago
Fourier serie for f(x)=3x^22x in pi<x<pi period!?
Hr.Tboy
 2 years ago
Fourier serie for f(x)=3x^22x in pi<x<pi period!?

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hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0i hope u know the formulas ?

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0\[a0+\sum_{1}^{\infty}_{n}cosnx+_{n}sinnx\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0wow... anyways, could u find a0 =... ?

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0an and bn exist before cosx and sinx

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0yea with oyler formula!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0\(\large a_0=(1/\pi)\int \limits_{\pi}^{\pi}(3x^22x)dx=....?\)

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0euler formula! bn and an are determined with euler formula too.

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0∫−ππ(3x2)d∫−ππ(2x)d=...? yea?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0i don't know how we use euler here, i would integrate by parts for an and bn

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0u go on,and tell what u finally get for a0=....?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0yes, its 1/2 pi i thought he wrote a0/2 in the formula, which i generally do.

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0for find the a0 , u should separate ∫(3x2−2x)d to two ∫(3x2)dx∫2x)dx.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0yeah, that was correct...what u got a0 finally ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0\(\large a_0=(1/2\pi)\int \limits_{\pi}^{\pi}(3x^22x)dx=(1/2\pi)[x^3x^2]^{\pi}_{\pi}\)

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.03x^2 is an even function. and other one is Individual function.

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0we should use this state i think!

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn what about other parts?!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0to find an and bn, you can use integration by parts. try it...if u get stuck, i'll help.

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0Some good questions being asked today :)

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0@abb0t good solution is need for these lol

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0why don't u try by yourself ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0we'll correct u if u get it wrong..

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0i tried on paper, it is so long to type here. :D

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0i separated that integration to two integration and find a0 an and bn for each of them. so sum them. and after that put it in initial formula!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0what u got a0=...?an=...?bn=...?

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0an for first integration is this: an=\[\int\limits_{0}^{\pi}3x^{2}cosnxdx \rightarrow......?\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0did u miss 1/pi in the beginning ?

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.02/pi i missed in beginning! sry

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0so u having trouble with integration by parts ?

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0Fractional integrals is needed to solve this?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0fractional integers ? no...

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0so how can u find the that integration?!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0didn't u try integration by parts ? u know what that is, right ? \(\int uv = ... ?\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0yes. u = x^2 what will u take dv =... ?

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0actually dv=cosnx and v=sinnx

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0yes, yes, go ahead and solve it...

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0you'll again need product rule when u solve for sin nx (2x)dx

Hr.Tboy
 2 years ago
Best ResponseYou've already chosen the best response.0yea thnx... i'll try and finally put the answer here to prove;)
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