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November 4th, 2017, 12:50 PM   #1
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double integration

Please could someone help me with part one as I have tried to do it via integration by parts but am getting nowhere
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November 4th, 2017, 01:33 PM   #2
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Math Focus: Wibbly wobbly timey-wimey stuff.
Sorry, but I can't quite make out the integrand. Is it supposed to be
$\displaystyle \int _0^1 \int _{2y^{3/2}}^{2y} \frac{y^2}{x^2} e^{-(x - 2)^2 /2} ~ dx~dy$

The x integration is supposed to come first but I don't think it has an exact form. So what I would do is to switch the integration to dy dx. I'll leave the process of changing the integration limits to you. I have included the graph that will help.

Can you finish from here?

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