Final answer:
To find the region enclosed by the given curves and its area, we need to sketch the curves and determine the limits of integration.
Step-by-step explanation:
To find the region enclosed by the given curves and its area, we need to sketch the curves and determine the limits of integration.
The given curves are y = 1/x, y = x, and y = 1/4x. To sketch these curves, we can plot a few points and connect them to form the graphs.
Once we have the graph, we can determine the limits of integration by finding the points of intersection between the curves. The region enclosed by the curves will be between these points.
Finally, we can compute the area of the region by evaluating the definite integrals over the appropriate limits.