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I want to know how this integral will equal zero?

I know that Ψ will fall to zero as x goes to infinity

and i know that Ψ must fall to zero very quickly , Ψ must fall to zero faster than 1/√|x|

all of this will help evaluating this integral

i tried to solve it as follows

The first term will vanish due to the previous reasons

but how the second term will vanish?

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# Conditions in Wave Function, and Integration

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