- #1

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[tex]

\int e^{2x}sinx

[/tex]

I've tried by parts, but [tex]e^{2x}[/tex] never goes away and [tex]sinx[/tex] just keeps going back and forth to [tex]cosx[/tex]. Is there some kind of substitution I should use? The original question was the differential:

[tex](-e^xsinx+y)dx+dy = 0[/tex]

and I'm trying to find the integration factor to solve for [tex]y[/tex], but I can't seem to figure out how to integrate it. Thanks!