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## Main Question or Discussion Point

int((z-r*x)/[z^2+r^2-2*z*r*x]^(3/2), x)

- Thread starter thebuttonfreak
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int((z-r*x)/[z^2+r^2-2*z*r*x]^(3/2), x)

cristo

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Is this the integral you want to solve? [tex]\int\frac{z-rx}{(z^2+r^2-2zrx)^{3/2}}dx[/tex]

Could you please show your efforts first, since PF rules state that we must see your work before we can give help you.

Could you please show your efforts first, since PF rules state that we must see your work before we can give help you.

Last edited:

arildno

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Would that be:

[tex]\int\frac{z-rx}{\sqrt[\frac{3}{2}]{z^{2}+r^{2}-2zrx}}dx[/tex]

[tex]\int\frac{z-rx}{\sqrt[\frac{3}{2}]{z^{2}+r^{2}-2zrx}}dx[/tex]

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Is this the integral you want to solve? [tex]\int\frac{z-rx}{(z^2+r^2-2zrx)^{3/2}}dx[/tex]

Could you please show your efforts first, since PF rules state that we must see your work before we can give help you.

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cristo

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If you use the first substitution then you can replace x by noting that x=(z^2+r^2-u)/2zr. I've not done it, but this may help.sure, i made the substitution u=z^2+r^2-2zrx, but got since du/dx=2zr and i was unable to cancel the x on top. also i let u =(z^2+r^2-2zrx)^3/2, i was unable to solve it. I tried maple, mathworld integrator but was unable to get an answer. I did that so i could at least see what direction to go in. Don't want the solution straight out but help on what direction to go would be great. I know it can be solved using Legendre polynomials but I want to solve it without use of that technique.

I get an answer when I put it into mathworld's integrator, so you may have typed it in wrong.

To see the mathematical notation, just click on one of the equations to see the code. Then include it in normal text with [ tex ] before and [ /tex ] after the code (without the spaces inside the brackets). See here for the LaTex tutorial.

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