Area Between Two Compound Curves
In the previous formulation, we assumed that f(x) ≥ g(x) in the interval [a, b]. But it’s not always the case, let’s consider another case, f(x) ≥ g(x) in [a, c] and f(x) ≤ g(x) in [c, b], here a < c < b. So, the bounded area in this region is given in the figure below,
Area Required = [Tex]\bold{\int^{b}_{a}[f(x) – g(x)]dx + \int^{b}_{c}[g(x) – f(x)]dx} [/Tex]
Area Between Two Curves: Formula, Definition and Examples
Area Between Two Curves in Calculus is one of the applications of Integration. It helps us calculate the area bounded between two or more curves using the integration. As we know Integration in calculus is defined as the continuous summation of very small units. The topic “Area Between Two Curves” has applications in the various fields of engineering, physics, and economics.
Let’s know more about Area Between Two Curves in detail below.