DefinitionIntegrals from constant functions require the antiderivative of the constant function on any interval. The definite integral of the constant c over the interval [a,b] is just the product of the constant and the length of the interval. This integral can be visualized as the area of a rectangle whose sides measure components c and interval [a,b], respectively. Question 1 The integral ∫abcdx=c(b−a) represents the area that a constant function c would have under the function f(x)=c for the interval x=a to x=b.