Question

is anyone able to do a quick lesson on integration by parts?

Answer 1

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!!

Answer 2

is that the integral of the derivative of v(x)? lol

Answer 3

try few examples