Final answer:
To sketch the region enclosed by the given curves, plot the graphs of the curves on a coordinate plane. Then, calculate the area of the region using integrals.
Step-by-step explanation:
Sketching the Region
To sketch the region enclosed by the given curves, we need to identify the equations of the curves. Let's assume we have two curves represented by the equations y = f(x) and y = g(x). Plot the graphs of f(x) and g(x) on the same coordinate plane to see how they intersect and enclose a region.
Calculating the Area
After sketching the region, we can calculate its area using integrals. Take the integral of the top curve (y = f(x)) minus the integral of the bottom curve (y = g(x)) with respect to x within the limits of the enclosed region. This will give you the area of the region enclosed by the curves.