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## Homework Statement

Evaluate

[tex]\int\int x^{2}e^{x^{2}y} dx dy[/tex]

over the area bounded by [tex]y=x^{-1}, y=x^{-2}, x=ln 4[/tex]

## Homework Equations

## The Attempt at a Solution

[tex]\int^{1}_{(ln 4)^{-2}}\int^{y^{-1}}_{y^{\frac{-1}{2}}}x^{2}e^{x^{2}y}dx dy[/tex]

I got this far before I realized that this wasn't a straightforward integral. There is nothing like it in the tables. I put [tex]\int x^{2}e^{x^{2}y} dx[/tex] into Mathematica's online integrator and I got something involving the imaginary error function... Help please?

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