## amorfide Group Title is anyone able to do a quick lesson on integration by parts? one year ago one year ago

1. experimentX Group Title

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 Group Title

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

3. experimentX Group Title

try few examples |dw:1350493861755:dw|

4. experimentX Group Title

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

5. experimentX Group Title

|dw:1350494046804:dw|

6. amorfide Group Title

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

7. experimentX Group Title

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