Is there a way to solve this integral?



You can write a program that runs on an internet-connected computer that 
will convert an unsolved integration problem into a problem in 
Mathematica syntax, ship it off to Wolfram Alpha, and if it comes up 
with an answer, suck it back into Maxima.  I did such a thing with TILU 
and a predecessor of Wolfram  Alpha.  Until WRI changed the form of the 
answer so that if was an image.  This was a few years ago.  Is it ok to 
do this?
I am not a lawyer.

RJF
On 8/20/2011 3:04 PM, Raymond Toy wrote:
> On 8/19/11 9:24 AM, 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.
> If Wolfram Alpha provides an answer for you, why do you need maxima to
> provide an answer?  Yes, it would be nice if maxima could produce an
> answer, but it apparently can't.  Why not just move on?  Unless, of
> course, you want to improve maxima's integration routine.
>
> Ray
>
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