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amorfide
 2 years ago
is anyone able to do a quick lesson on integration by parts?
amorfide
 2 years ago
is anyone able to do a quick lesson on integration by parts?

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experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1let \( u \) and \(v\) be two functions of x, \[ \int u(x) \; v(x) \;dx = u(x) \int v(x) dx  \int {d\over dx}u(x) \left [ \int v(x) dx \right ] dx \\= v(x) \int u(x) dx  \int {d\over dx}v(x) \left [ \int u(x) dx \right ] dx\] Rest is pratice!!

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1350493812184:dw is that the integral of the derivative of v(x)? lol

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1try few examples dw:1350493861755:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yeah ... but that is multiplied by another integral ... and dx appears at last.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1350494046804:dw

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0so in words it would be (second x integral of first)  (integral of (derivative of second x integral of first))

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yep .. you can interchange first and second though. suit yourself according to the problem.
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