Integrating DX/(x^2+1)^(3/2): Solving an Integral Problem

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SUMMARY

The integral of the function DX/(x^2+1)^(3/2) can be solved using substitution techniques. Specifically, substituting x with the trigonometric function x=tan(z) simplifies the integration process. This approach is effective when traditional methods such as integration by parts do not yield results. The integral can be expressed as ∫(1/(1+x^2)^(3/2))dx, which is a standard form in calculus.

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Cy4NidE
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This is my first post so bare with me please.

What is the integration of DX/(x^2+1)^(3/2)



The (3/2) is the power of the bigger parenthasis. The dx is on top, and the rest of the problem is on bottom.
 
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[tex]\int \frac{1}{(1+x^2)^\frac{3}{2}}dx[/tex]

If you have something like that usually what you should do is see if integration by parts will help and if that doesn't help,look for a substitution.
Try substitution x as some trig function.
 
try to substitude x=tan z
 

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