Final answer:
The correct integral for calculating the outward flux using Green's theorem is ∬(Qdx - Pdy), which is option B in the multiple-choice question.
Step-by-step explanation:
The integral that applies Green's theorem to calculate the outward flux across the boundary of a region enclosed by a curve is given by ∫∫(Qdx - Pdy).
Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C. In the context of flux, it states that the circulation around C of a vector field described by components P and Q is equal to the double integral of ∂Q/∂x - ∂P/∂y over the region D. When calculating outward flux, you want to consider the normal component of the vector field, leading to the form ∫∫(Qdx - Pdy), which is option B) in the given question.