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## Homework Statement

I was messing around with various integral problems for a test a few months before, and I got stuck on a problem I made up:

http://alt2.artofproblemsolving.com/Forum/latexrender/pictures/e/f/2/ef2e9abca8945a10d5df45e7b73755ecb34cf21d.gif [Broken]

## Homework Equations

No idea. I used everything in my Mathematics arsenal of Calculus BC.

## The Attempt at a Solution

I'm very curious on learning on how to solve this. I developed some theorems and methods along the summer that ended up being already formed and used with slightly different notation. For example, I used a variant of U-substitution to solve for the differential equation: dy/dx = 2x - y. I was flabbergasted to see a differential equations textbook do exactly what I did. Not to sound pretentious, but I really want to know how this is solved. I can't stand having any math be unsolvable. I was researching a bit and is this at all similar to integral of sinx/x?

I used various forms of Integration by Parts, U-Substitution, Partial Fractions, and a couple others and it was unsuccessful. It looks like a inverse sinx on the bottom, but it's probably a much uglier solution. I think it requires a bit more advanced Calculus with series or something so that's where you guys come in! I would appreciate it if you guys can nudge me in the right direction.

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