Connect with like-minded professionals and have your say on the issues that matter to you.
Don't forget to look at the how to guide.
Discussion in 'Mathematics' started by fudgesweets, Mar 2, 2011.
How would you integrate 4*sqrt(1+3(cosx)^2)......any ideas for a substitution? perhaps?
Where does the question come from? I think it is an elliptical integral of the second kind.
I used an invention that predates WA Casy ... my eyes.
I'd also like to know where this came from, as I had a good play with this and didn't get anywhere. Like DM, my first thought was elliptical. If this really was in an A-level exam I'd imagine there were limits given, with the expectation of using a numerical method: in which case the OP should have said so.
quick estimate 2*cos(2*x)+6 , integrates to sin(2*x) + 6*x.
also try fourier series ,
even function !, so limits -a,a integrates to zero.
all b(n) coefficients zero apparently
a0 + a1*cos(?) + a2*cos(?) +
approximate function then integrate term by term perhaps.
DM - I do know you can integrate stuff (so can I), your wording amused me for some reason when I read it, reminded me of WolframAlpha which is one seriously useful resource.
It even has Polecat's 19.4 (well, 19.3769 approx, more digits if you want)
I used Maple rather than Mathematica - personal preference.
If I have the time, I might see what sort of accuracy Simpson's
rule produces with not too many ordinates.