Area using double integration ( Cartesian Form )

The area of a plane region can be found using double integration in Cartesian coordinates by integrating the constant function 1 over the given region. In Cartesian form, the limits of integration are expressed in terms of 𝑥 and 𝑦. The region may be described as 𝑎≤𝑥≤𝑏 and 𝑔(x)≤𝑦≤G(x), or 𝑐≤𝑦≤𝑑 and 𝑓(y)≤𝑥≤F(y). Evaluating the double integral over these limits gives the area of the region.