#This problem has been stumping me for quite a bit now
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well, first and foremost, the the second term ((1+x^3+...)sin(x+y+z+w)^n) goes to zero as n goes to infinity because the value inside the sine is strictly positive and thus sine is really small, and hence as n gets greater and greater, the value of this is getting smaller and smaller, aproaching 0. So we are left with the first part
which the first part can be simplified down to
cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
correct?
yeah, but i don't think you should get into that
i am seeing wether distributing the first part will work
which i think does
alright
give me 20 minutes and i will get back to you
you should try it yourself, just distribute the parenthesis and it will be easier i think
it should be solvable
bro what is this integral. Took me 2 pages just to write down what i found after integrating wrt x xD
one part of the answer after integration wrt x doesn't converge so i don't think the integral converges
yeah
ive gotten this far before my brain shut down
wolfram alpha just proved me wrong though
oh?
oh interesting
like using jacobians?
yeeeeeee this problem is such a mess
it is
lemme try using jacobians wait
alright
nah it won't work
no idea, try spamming in general, someone will notice and help you probably
no, i don't mean literally spam
kek ik
i just send a couple of messages
huh?
lolll
thanks for the help though
imma try and get someone to look at it wait
ill keep this open incase anyone can try to add upon what you have found so far
ah alright
ima need to go do some stuff for a couple hours so yeah
ok byee
mb it took quite a bit longer then i thought ahah
It seems to me that Change of coordinates should work
EDIT: nvm, it does not lend itself to some simplification..
yeah, it doesn't
it is quite scary
