Try:
(%i1) load(abs_integrate)$
(%i2) load(hyperint)$
(%i3) extra_integration_methods :
cons('hyper_int,extra_integration_methods)$
(%i4) integrate(1/((x-1)^(6/5)*(x+3)^(4/5)),x);
(%o4) -(5*((x-1)/4+1)^(1/5))/(4^(4/5)*(x-1)^(1/5))
Check:
(%i5) ratsimp(diff(%,x));
(%o5) 1/((x-1)^(6/5)*(x+3)^(4/5))
Another example:
(%i6) integrate((x-1)^(6/5)*(x+3)^(4/5),x);
(%o6)
(5*4^(4/5)*hypergeometric([-4/5,11/5],[16/5],-(x-1)/4)*(1-x)^2*(x-1)^(1/5))/11
The functionality of hyperint is undocumented, and the function isn't well
tested
(the hyperint code is in share/contrib).
--bw
maxima-bounces at math.utexas.edu wrote on 03/09/2010 05:04:53 PM:
> [image removed]
>
> [Maxima] Evaluation of integral
>
> Shailesh Ashok Shirali
>
> to:
>
> maxima
>
> 03/09/2010 05:09 PM
>
> Sent by:
>
> maxima-bounces at math.utexas.edu
>
> Hi,
> I work with Maxima version 5.18.1, front end: wxMaxima 0.8.2.
>
> I find that Maxima handles with great ease extremely tedious and messy
> integrals like integrate(sqrt(tan(x)),x) and integrate(tan(x)^(1/3),x).
>
> But I find that it stumbles on this integral:
> integrate(1/((x-1)^(6/5)*(x+3)^(4/5)),x)
> though the answer is a fairly easy one:
> -(5/4) *(x + 3)^(1/5)/(x - 1)^(1/5).
>
> Any suggestions on how I could get Maxima to evaluate it? Is there some
> package to be loaded?
>
> Thanks!
>
> Shailesh _______________________________________________
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