The territory occupied by a certain community is bounded on one side by a river and on all other sides by mountains, forming the shaded region shown in the accompanying figure. If a coordinate system is set up as indicated, the mountainous boundary is given roughly by the curve y = 4 − x², where x and y are measured in miles. What is the total area occupied by the community?

Transcribed Image Text:

Mountains River y=4-x² -X