Integrating Functions: Tips and Tutorials for Solving Complex Integrals

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Homework Help Overview

The discussion revolves around integrating a function of the form ∫ ydx/(x² + y²)^(3/2), focusing on the challenges of finding an appropriate substitution for the integral.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss various substitution methods, including the suggestion of using x = ytanθ. There is uncertainty about the effectiveness of these substitutions and whether a double substitution is necessary due to the complexity of the denominator.

Discussion Status

The conversation is ongoing, with participants sharing their attempts and questioning the viability of different substitution strategies. Some guidance has been offered regarding potential substitutions, but no consensus has been reached on a definitive approach.

Contextual Notes

There is mention of online resources and tutorials, indicating a search for additional support in tackling the integral. The original poster expresses difficulty in finding a suitable substitution, which may reflect constraints in their understanding or resources.

Abdulwahab Hajar
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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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Hello. What substitutions did you try ?
 
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
 
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.
 
Thank you, I found a solution
all is good
 

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