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Perusing through old pics, and I found this. I have not been
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Perusing through old pics, and I found this.

I have not been in a Calculus class in five years, and I've forgotten damn near everything I know.

I know it has something to do with integrals; can someone give me the short-and-sweet version of what the hell this is?
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>>7643530
Partial integration senpaitachi
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>>7643530
Integration by parts, it's a formula for (most of the time) solving integrals which are products, like x(e^x)

http://tutorial.math.lamar.edu/Classes/CalcII/IntegrationByParts.aspx

Very useful thing to remember desu
>>
More sauce for learning: http://www.math.wisc.edu/~park/Fall2011/integration/Integration%20by%20parts.pdf
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>>7643534
>>7643535
>>7643544
So what's the little prime symbol mean? Is that the derivative?
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>>7643545
woah nelly, you've really forgotten everything

(yes).
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>>7643545
Yes. See https://en.wikipedia.org/wiki/Notation_for_differentiation
>>
You idiots OPs equation is nothing but bullshit!
You cannot perform integration by parts on an indefinite integral.
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>>7643568
You stupidity is indefinite, friendo
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>>7643551
>>7643553
Thanks for helping me feel slightly less retarded than I used to be. I'm thinking I'm gonna re-visit this shit soon and stretch my brain a bit.
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>>7643577
Look it up. The first term on the right side of the equation has to be evaluated at some boundaries, otherwise this could lead to serious logical problems.

inb4, but in physics I do it all the time (you evaluate at infinity, collegueo)
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>>7643553
Nice article thanks
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>>7643593
What the hell are you talking about? If you want to find the antiderivative of fg' you note that it is equal to (fg)'-f'g if f is differentiable, then since anti-differentiation is linear from anti-differentiable functions to the equivalence classes of functions modulo constants you get integration by parts for indefinite integrals.
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>>7643530
Integration by parts.

Integeral of v du = uv - integral of v du
>>
>>7643718
https://drive.google.com/file/d/0B-fv2by5dhmUSS1wVk1VRG1OWnc/view?usp=sharing

btfo autists
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