I have a problem with an analytic integration

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I have a problem with an analytic integration

Posted on 2007-04-18 23:11 By agussuroso (3)

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Dear all,

I'm a beginner user of Mapple. I'm seeking an analytic solution of:

integral{ 1/(ax^3 + bx + c) dx}

Would you like to help me...

thanks.

regards,
agus

agussuroso's blog
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I have a problem with an analytic integration

Comment on 2007-04-19 04:25 from gkokovidis ( Maple Rating 4

672)

>restart:
>int(1/(a*x^3+b*x+c),x);
>allvalues(%);

Look at the help files for the int command and for the allvalues command to get more details. At the prompt, type the following commands below. If you have values for a,b,c and a range, you would be better with a numerical answer. The output of the above commands is rather large and difficult to manipulate.

>?int
>?allvalues

Regards,
Georgios Kokovidis
Dräger Medical

How would you do it by hand?

Comment on 2007-04-25 15:38 from edgar ( Maple Rating 2

176)

First factor the denominator, then proceed in various cases, depending on whether the roots are real or complex... for example, suppose the factorization is a*(x-r1)*(x-r2)*(x-r3), where r1 < r2 < r3 . Then...

p := a*(x-r1)*(x-r2)*(x-r3);