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

This Question is Closed

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

hartnnBest ResponseYou've already chosen the best response.2
@sauravshakya @siddhantsharan
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
did you try competing square?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
adding and subtracting 2ab sinxcosx ?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
yep thats what came into my ind first not foolproof
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
did that work @hartnn
 one year ago

ZekariasBest ResponseYou've already chosen the best response.0
what if we insert 1sin^2(x) instead of cos^2(x)
 one year ago

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

mukushlaBest ResponseYou've already chosen the best response.4
seems to be an elliptic integral and there is no closed form for elliptic integrals
 one year ago

hartnnBest 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......
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
no closed form...any *open* form ?
 one year ago

estudierBest ResponseYou've already chosen the best response.0
You may try the Weierstrass substitution....
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.2
ohh...okk....so no closed form means? do we write it in some new function form ?
 one year ago

mukushlaBest ResponseYou've already chosen the best response.4
closed form means there is no antiderivative for integrand in terms of elementary functions
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
ok,then.....no use banging our heads,solving this....m closing it.....
 one year ago
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