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LOL. I guess the tutorial I found was a good one...
Theres a command I never heard of...
\mbox{The first post, mathsy. 8O)}
[Please ignore this post as it is made of 100% pure stupidity. x_x]
Stupid typos. Again. It's fixed now.
What the math? Where did you come up with that? It should be 3e^3  e^3  (2e^2  e^2). Where the heck did you come up with such a visually repelling expression?
I'm advanced eh? I guess I'm good at sounding smart or something. I'm pretty sure I'm in the same place (Calculus 2) as you, mikau.
pardon me if I'm not interpreting this correctly, I think Ryos is far more advanced then me in math knowledge and I find it suprising he would ask such a simple question. Which is why I doubt I'm interpreting this question correctly.
Yeah, it's straight from my book. And maybe it's because I learned from that book, but I find it clearer than Ricky's version.
If what you copied is straight from your book, that's the weirdest defintion for integration by parts I've ever seen. From this, it should be clear that you must first divide up your function into two parts, u and dv, then solve for v and du, and finally just plug it all back in.
The uv outside of the integral sign in the formula is just a part of the integral "already solved". So your first interpretation is correct.
My book says that the definite version of the integration by parts formula is: When actually evaluating the integral, I'm not sure how to interpret this. I think it could be either: ...or, it could be: Is it one of those, or something else entirely? (Good gads, LaTeX competes with regular expressions for ugliest mishmash of punctuation ever.) 