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Stubborn Integral 
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#1
Oct3009, 03:58 AM

P: 792

Hi
I'm trying to evaluate the following indefinite integral, where s is any positive real number [tex] \int \frac{du}{ \sqrt{Au^{s+2}+Bu^2+Cu+D} }[/tex] For any A,B,C,D, and u is zero at [tex]\pm \infty[/tex] I don't need to know how to do it, you can evaluate it on some computer algebra system. Any help thanks? 


#2
Oct3009, 07:22 AM

HW Helper
P: 3,352

Mathematica can't do it, doubt any other computer systems will be able to either. If you could specify more of your variables it might help.



#3
Oct3009, 07:35 AM

P: 792

Ok, s is a positive integer, and A=1/(1+s)(2+s), that's as specific as I can get. Or, simply looking at the cases s=1,2,3,4. Thanks.



#4
Oct3009, 07:50 AM

HW Helper
P: 3,352

Stubborn Integral
Even if s=1 it seems like a very complex elliptic integral.
The simplest it can be made into is evaluated by Mathematica if you enter "integrate 1/( x^3+ ax^2+bx+c)^(1/2) dx" into www.wolframalpha.com . I've never seen that "Root" function or notation before though. 


#5
Oct3009, 07:54 AM

P: 792

Er, yea, wolframalpha gives a strange answer, what is # supposed to represent? But thanks anyway.



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