Finding the Area of a Bounded Region Look at a rectangle, of length 4 and width 2, in the x-y plane. We can bound this rectangle using the lines x = 2, x = 6, y = 1 and y = 3. Finding this area using a double integral: The inner integral: The double integral now ...
Some double integrals are taken over a bounded region. In this case, it is important to make sure that the limits of integration of the inner integral are dependent on the variable of the outer integral, not the other way around. Follow along with the example to learn how to solve a ...