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June 10th, 2019, 12:48 AM   #1
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Two different answers through two different approaches

While evaluating this integral, I am getting different answers as I approach through different ways. Am I incorrect somewhere or is there any other explanation for such integrals?
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 June 10th, 2019, 05:41 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 What limits apply when you integrate with respect to x? What limits apply when you integrate with respect to y? Thanks from topsquark
 June 10th, 2019, 09:06 AM #3 Member   Joined: Apr 2017 From: India Posts: 73 Thanks: 0 The limits for x are 0
 June 10th, 2019, 12:48 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 Your first way is correct. For your second way, the limits for y need to represent x < y < infinity. With that change, your second way produces 1/3, in agreement with the first way. Thanks from topsquark and shashank dwivedi

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