What's your favorite integral?

Question

anonymous · Answer

The messy kind

kainui · Answer

I think the integral of e^x * sinx is a fun one, but probably not my favorite.

anonymous · Answer

That is cool and I mean more like triple integrals and partial fraction integrals

kainui · Answer

Actually as far as multiple integrals go, I really like Green's Theorem and the "aha!" moment of how really you can either integrate around the outside or take the curl and add up all the little pieces and add them up like a bunch of tiny green's theorems and it's the same thing.

owlcoffee · Answer

One I can apply change of variable, I love doing that.

anonymous · Answer

Calc <3

nipunmalhotra93 · Answer

An integral satisfying the conditions for the cauchy integral formula. Coz you don't have to integrate that XD

anonymous · Answer

I particularly like ones of the form
$$\int_{-\infty}^\infty \frac{P(x)}{Q(x)}~dx$$
where the degree of the denominator is at least two greater than the degree of the numerator. Complex analysis is fun!