Ok, this isn't a particularly hard integral, but for some reason I don't understand why the answer is what it is. Here's the integral (BTW, it's part of a double integral):(adsbygoogle = window.adsbygoogle || []).push({});

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

The answer is: [tex]ye^{x/y} dy[/tex] but I don't understand why.

Wouldn't it be in the form e^u, with u being x/y, and du being 1/y dy? If so, then the answer should be [tex]e^{x/y}/y dy[/tex], right? That's wrong I guess, because the rest of the integral is pretty much impossible to do if that's the answer. So basically, my question is, why is the answer the answer? Thanks!

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# Weird Exponential Integral

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