Question

Find the area of the region in the first quadrant enclosed by the graphs of y=4-x^2, y=4x-x^2, and x=0.

Answer 1

This would be the region we are looking for. That region is in the interval X:[0,1]. It looks like if we find the area of the upper curve, y=4-x^2 to the x-axis in that interval, and subtract from it the area of the lower curve y=4x-x^2 to the x-axis in that interval, we'll find the area of that region.