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compute the following integral

Mathematics
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\[ \int\limits_{\pi}^{\pi}\frac{ 1}{ 1+e ^{sinx} }dx\]
its from pi to pi?
oh from -pi to pi

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Other answers:

i only have the finaly answer (pi) but i don'tknow did they it
what level is this?
second
second what?
ok maybe i don't understand u which level are u refering to?
which grade?
advanced calculus
past vector calculus?
i did pure calculus now is the second level of it (which is advanced calculus)
have you done double and triple integrals? i only ask because i think i saw something similar a couple days ago.
i am not sure whether this is possible The substitution of x=-y yields |dw:1360491262699:dw| NB:not sure
@phi pls help
do you know a standard integral... \(\int \limits_a^b f(x)dx =\int \limits_a^b f(a+b-x)dx \)
*standard property.
no
ok, then do you want to use this (1 method) or continue with what u did (another method) of putting x=-y...
any method u know u can use it i'll try to catch up
ok, i'll tell u both, first using your substitution x=-y, |dw:1360492675542:dw| |dw:1360492681874:dw| understood till here ?
ok this means i will have |dw:1360492779070:dw| @hartnn can u pls teach me/explain standard property
yes, you got it correct using your method, now the standard property... let I = integral ..... -------->(1) now using that property, first tell what is a+b-x =.... ?
pi-pi-x=-x
yes, so, because of that property, |dw:1360493289196:dw| add 1 and 2 what u get ?
|dw:1360493238315:dw|
from -pi to pi
umm...not actually.... |dw:1360493484296:dw| |dw:1360493501827:dw| s = sin x
|dw:1360493565788:dw|
got that ^ ?
wow i see now so tell me how wil i know that i must use standart property
thats trial and error, i first thought of substitution, then recalled different properties, then this property was found to be useful...wih enough practice, this procedure becomes easy and fast...
also you must know all the properties beforehand ...
ok thnx
welcome ^_^
@jacobian see this

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