Difficult Double Integral

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Hi askmath! I'm taking calc 3, and our textbook has gives a very difficult double integral as an problem:

double integral from -1 to 1 from 0 to 2 (x¹⁵ * e^{x² * y²}) dy dx

(Sorry, I don't know how to format it. Here's a link to Wolfram Alpha

The TA couldn't figure it out. We know the answer is 0. We know that we can do it by itegrating x first, u-substitution for x^2, (so integral u⁷ * e^u*y² ) then integrating by parts several times.

Is there a better way to do this, or some observation about bounds or something so we don't have to do all that work?

Thanks!

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Posted: 10 years ago
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