Simple Integral. I'm a bit rusty.

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Homework Help Overview

The problem involves evaluating the integral of the function 1/[(z^2 + x^2) ^ 3/2] with respect to x, where z is a constant. The subject area pertains to integral calculus and techniques of integration.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts substitution but encounters difficulties. Another participant suggests a specific substitution involving trigonometric functions. There is also a request for more detailed working to clarify the confusion experienced by the original poster.

Discussion Status

The discussion includes various approaches to the problem, with some participants exploring trigonometric substitutions. There is an indication that the original poster may have reached a resolution, but the details of that resolution are not shared.

Contextual Notes

There is a mention of confusion regarding the steps following the suggested substitution, indicating a potential gap in understanding the application of trigonometric identities in this context.

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Homework Statement



Take the integral of
1/[(z^2 + x^2) ^ 3/2] dx where z is a constant.



Homework Equations





The Attempt at a Solution



I tried substitution, but couldn't get it to work. Thanks in advance.
 
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Have you tried x=ztanθ ?
 
Yes but I was confused on the next step. I tried to look into trig substitutions.
 
Could you post your entire working?
 
Oh, never mind I think I just figured it out. Thanks for your help!
 

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