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hartnn
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Efficient (or any) way to integrate this:
\(\large \sqrt{a^2cos^2 x+b^2sin^2x}dx\)
 2 years ago
 2 years ago
hartnn Group Title
Efficient (or any) way to integrate this: \(\large \sqrt{a^2cos^2 x+b^2sin^2x}dx\)
 2 years ago
 2 years ago

This Question is Closed

hartnn Group TitleBest ResponseYou've already chosen the best response.2
\(\huge \int \large \sqrt{a^2cos^2 x+b^2sin^2x}dx\)
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
@sauravshakya @siddhantsharan
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
did you try competing square?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
adding and subtracting 2ab sinxcosx ?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
yep thats what came into my ind first not foolproof
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
did that work @hartnn
 2 years ago

Zekarias Group TitleBest ResponseYou've already chosen the best response.0
what if we insert 1sin^2(x) instead of cos^2(x)
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
\(\sqrt{(acos x+bsinx)^22absinxcosx}\) hmm....what next ?
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.4
seems to be an elliptic integral and there is no closed form for elliptic integrals
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yes, i heard same thing earlier....but could not digest that this simple function is not integrable......
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
no closed form...any *open* form ?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
You may try the Weierstrass substitution....
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.4
more simpler\[\int \sqrt{1+\sin^2 x} \ \text{d}x\]but no closed form :)
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
ohh...okk....so no closed form means? do we write it in some new function form ?
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.4
closed form means there is no antiderivative for integrand in terms of elementary functions
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
ok,then.....no use banging our heads,solving this....m closing it.....
 2 years ago
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