Hi I need to compute the next integral: but i dont know even where to start ! Any hint how to do this?{ thank you
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I tried using integration by parts on the first one, and everything seems fine except for the limits... I want to avoid integrating ont he complex plane but... what do you think?
Originally Posted by mabruka Hi I need to compute the next integral: but i dont know even where to start ! Any hint how to do this?{ thank you Hint: Spoiler: For the second one use the product-to-sum identity to make it into two similar cases of the first integral. For that one use the fact that
Thank you, im gonna work in it right now
Originally Posted by Drexel28 Hint: For the second one use the product-to-sum identity to make it into two similar cases of the first integral. For that one use the fact that Sorry, i dont understand the fact. What fact about that integral? The only think i can think of is its relation with the gamma function
Guess im gonna go over the complex field to integrate that last integral! Hope it works just fine Thnx for the help
Originally Posted by mabruka Sorry, i dont understand the fact. What fact about that integral? The only think i can think of is its relation with the gamma function switch the order of integration.
Nice try but that integral diverges. And you'll need a justification to swap the integration order.
After working with it a bit i found out which as Krizalid pointed out it is not finite. The problem here is we can not use Fubini's theorem because the function is not integrable. So the only way i can think of doing it is over the complex field.
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