Integrating Functions: Tips and Tutorials for Solving Complex Integrals

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In summary, the conversation is about a person seeking help with integrating a function in the form of ∫ ydx/(x2 + y2)3/2 and trying different substitutions, ultimately finding a solution.
  • #1
Abdulwahab Hajar
56
2

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
 
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  • #2
Hello. What substitutions did you try ?
 
  • #3
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
 
  • #4
Abdulwahab Hajar said:
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.
 
  • #5
Thank you, I found a solution
all is good
 

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