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amorfide 4 years ago is anyone able to do a quick lesson on integration by parts?

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1. experimentX

let $$u$$ 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!!

2. amorfide

|dw:1350493812184:dw| is that the integral of the derivative of v(x)? lol

3. experimentX

try few examples |dw:1350493861755:dw|

4. experimentX

yeah ... but that is multiplied by another integral ... and dx appears at last.

5. experimentX

|dw:1350494046804:dw|

6. amorfide

so in words it would be (second x integral of first) - (integral of (derivative of second x integral of first))

7. experimentX

yep .. you can interchange first and second though. suit yourself according to the problem.

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