Differentiable and Integrable calculus terms

Question

Is there a standard way to say "Differentiable" and "Integrable" in Spanish?

How would I say that a function is differentiable or integrable?

Answer 1

As a former mathematician, yes.

Something is diferenciable or derivable. In Spanish, there's a distinction between those, but not in English.
diferenciable is used when talking about multivariable calculus; derivable is used when talking about single variable calculus.

As for integrable, it stays the same, namely:

Sea f una función integrable en un subconjunto de los reales.

The spelling is kept, but the pronunciation obviously changes.