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I have a problem with this integral:

Integrate[(( A x (x^2-1)^(5/2))/(B x^2+C)) Exp[-Subscript[z, 0]x],{x,1,Infinity}]

where $A$, $B$, $C$, and $z_0$ are constants.

I'm trying to use Mathematica 8 to solve it, but this diverges.

Maybe I'm doing something wrong. Otherwise, please tell me if there is some kind of algorithm to solve integrals like this.

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Perhaps knowing the values of the constants would help. –  Sjoerd C. de Vries Oct 23 '13 at 18:39
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This is not a math forum; you shouldn't expect help from here with anything but Mathematica code. –  Svend Tveskæg Oct 24 '13 at 15:33
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1 Answer

Like this:?

Integrate[A (B y^2 (-1 + y^2) + C y^2) 1/y E^-y (Sqrt[y^2 - 1])^5, {y, 1, \[Infinity]}]

answer

I think the result is very complex as it is symbol,not numeric.

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No @Tangshutao, it's not the expression of integral that i give. Please Look : Integrate[(( A x (x^2-1)^(5/2))/(B x^2+C)) Exp[-Subscript[z, 0]x],{x,1,Infinity}] –  betatron Oct 24 '13 at 15:09
    
@betatron,Sorry,The MMA cannot caculate the integral Integrate[(( A x (x^2-1)^(5/2))/(B x^2+C)) Exp[-Subscript[z, 0]x],{x,1,Infinity}] ,I cannot help you this time. –  Tangshutao Oct 26 '13 at 4:31
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