Evaluation of integral




Dear Barton,

Thanks for your very quick reply. However there is still a problem. As 

I said, I work with Maxima version 5.18.1, front end: wxMaxima 0.8.2. 



The command load(abs_integrate)$ goes through successfully, but 

load(hyperint)$ does not; Maxima responds with:



Could not find `hyperint' using paths in 

file_search_maxima,file_search_lisp.

 -- an error.  To debug this try debugmode(true);



I searched in the folder you mentioned, share/contrib, but did not find 

anything like hyperint there. What am I missing?



Thanks.

Shailesh 





On Wed, 10 Mar 2010 04:47:11 +0530  wrote

>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:



> [Maxima] Evaluation of integral



> Shailesh Ashok Shirali 



> 03/09/2010 05:09 PM



> I work with Maxima version 5.18.1, front end: wxMaxima 0.8.2. 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).



> Shailesh