limit of integral

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1. The problem statement, all variables and given/known data

are there any rules on how to find the limit of an integral equation?

for example,

find x such that the limit as y(x) tends to infinitiy of the integral equation equals 1


2. Relevant equations



3. The attempt at a solution

Im not sure how to do this, can i simply swap the limit sign with the integral sign?

Thanks in advance.


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