Final answer:
The integral of a bivariate continuous function is continuous.
Step-by-step explanation:
The integral of a bivariate continuous function is continuous.
A bivariate continuous function is a function of two variables, usually denoted by f(x,y), that is continuous across a defined region in the x-y plane. When we find the integral of such a function over a specific range, the result will also be continuous. This is because the integral is a fundamental operation in calculus that combines and sums infinitely many infinitesimal values, resulting in a smooth and continuous function.
For example, if we have a bivariate continuous function f(x,y) defined over a rectangular region, finding the double integral over that region will yield a continuous function.