Integrating y/(x² + y²)^(3/2) with respect to x

[Abdulwahab Hajar]

Homework Statement

Hello people
How would one integrate a function in the form of
∫ ydx/(x² + y²)^3/2

Homework Equations

I don't really know how to go about it

The Attempt at a Solution

I tried solving it by substitution but I can't find a suitable one...
any online tutorials for such an integral would be amazing!
Thank you

 

[BvU]

Hello. What substitutions did you try ?

 

[Abdulwahab Hajar]

I tried anything with x but that won't work, I checked it online I believe I have to try x = ytanθ... right?
and would it be a double substitution because we have function that the denominator is to the power of 3/2

 

[Ray Vickson]

I tried anything with x but that won't work, I checked it online I believe I have to try x = ytanθ... right?
and would it be a double substitution because we have function that the denominator is to the power of 3/2

If you think you need to substitute $x = y \tan(\theta)$, then just go ahead and try it for yourself to see what you get.

 

[Abdulwahab Hajar]

Thank you, I found a solution
all is good