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Find the value of the integral shown
 

What's the Value (or does it diverge?)

Find the value of the following integral, or show that it diverges.



Problem Moderated by: MrT

  
 
 
 

Problem Solution

Doing the integral from 0 to infinity gives lim (t->infinity) arctan x from 0 to t, which gives the lim (t->infinity) arctan t which equals pi/2. Since we are dealing with an even function, then the integral from negative infinity to 0 must also be pi/2. Adding these together gives the answer of pi.

2002 Archive

  
 
 



 
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