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Area between curves

The area I am looking for is the region bounded by the two functions
y=x² and y=2-x
between the limits (2,0) and (0,0) and bounded by the x axis and the point y=1

What is the area between these two curves? Using the formula A=∫f(x)-g(x)dx

Solution Preview

The two curves intersect at x=1 Therefore, the area bound should be considered ...

Solution Summary

This showsh ow to find the area between two given curves.