Hi Martin,
Have you tried byparts, using acos((2*c+k*u)/sqrt((1-k^2/4)*(1-u^2))? An
application of byparts and radcan reduces the integral to a rational
function times a quadratic, which can be done by a trig substitution.
FYI, here is the result of byparts, and radcan:
u*acos((2*k*u+4*c)/(sqrt(k-2)*sqrt(k+2)*sqrt(u-1)*sqrt(u+1)))
-'integrate((4*c*u^2+2*k*u)/((u^2-1)*sqrt((-3*k^2-4)*u^2-16*c*k*u-k
^2-16*c^2+4)),u)
Dan Stanger
Martin Kielhorn wrote:
> Hi,
> is there way, to help maxima along solving the following integral?
>
> integrate(acos((2*c+k*u)/sqrt((1-k^2/4)*(1-u^2))),u);
>
> wolframalpha solves the problem with the input
>
> Integrate[ArcCos[(2*c + k*u)/ Sqrt[(1-k^2/4)*(1-u^2)]],u]
>
> However, I would very much like to be able to stay within maxima.
>
> Regards,
> Martin
>
>
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