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April 19, 2013

#1201: Integration by Parts

Integration by Parts

A guide to integration by parts:

Given a problem of the form:

∫f(x)g(x)dx = ?

Choose variables u and v such that:

u = f(x)

dv = g(x)dx

Now the original expression becomes:

∫udv = ?



looks easier.

Anyway, I gotta run.

But good luck!

{{Title text: If you can manage to choose u and v such that u = v = x, then the answer is just (1

2)x^2, which is easy to remember. Oh, and add a ‘+C’ or you’ll get yelled at.}}