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hartnnBest ResponseYou've already chosen the best response.0
i hope u know the formulas ?
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
\[a0+\sum_{1}^{\infty}_{n}cosnx+_{n}sinnx\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
wow... anyways, could u find a0 =... ?
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
an and bn exist before cosx and sinx
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
yea with oyler formula!
 one year ago

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

Hr.TboyBest ResponseYou've already chosen the best response.0
euler formula! bn and an are determined with euler formula too.
 one year ago

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

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

hartnnBest ResponseYou've already chosen the best response.0
u go on,and tell what u finally get for a0=....?
 one year ago

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

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

hartnnBest ResponseYou've already chosen the best response.0
yeah, that was correct...what u got a0 finally ?
 one year ago

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

Hr.TboyBest ResponseYou've already chosen the best response.0
3x^2 is an even function. and other one is Individual function.
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
we should use this state i think!
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
@hartnn what about other parts?!
 one year ago

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

abb0tBest ResponseYou've already chosen the best response.0
Some good questions being asked today :)
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
@abb0t good solution is need for these lol
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
why don't u try by yourself ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
we'll correct u if u get it wrong..
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
i tried on paper, it is so long to type here. :D
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
i 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!
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
what u got a0=...?an=...?bn=...?
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.0
did u miss 1/pi in the beginning ?
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
2/pi i missed in beginning! sry
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
so u having trouble with integration by parts ?
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
Fractional integrals is needed to solve this?
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
fractional integers ? no...
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
so how can u find the that integration?!
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.0
here u=x^2 , v = cos nx
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
yes. u = x^2 what will u take dv =... ?
 one year ago

Hr.TboyBest ResponseYou've already chosen the best response.0
actually dv=cosnx and v=sinnx
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
yes, yes, go ahead and solve it...
 one year ago

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

Hr.TboyBest ResponseYou've already chosen the best response.0
yea thnx... i'll try and finally put the answer here to prove;)
 one year ago
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