7.1 | Area of a Region Between Two Curves

Let $$f$$ and $$g$$ be continuous on $$[a,b],$$ and suppose that $$f(x) \geq g(x)$$ for all $$x$$ in $$[a,b].$$ Then the area of the region between the graphs of $$f$$ and $$g$$ and the vertical lines $$x=a$$ and $$x=b$$ is
$$A = \int_a^b [f(x) – g(x)] \; dx$$