sketch the region bounded by the parabola x= and the line x=6-y and find the area of the region
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Area=∫2−1ydx∫-12ydx
=∫2−1((x+2)−(x2))dx∫-12((x+2)-(x2))dx
=(x22+2x−x33)2−1(x22+2x-x33)-12
=(12(4−1)+2(2+1)−13(23+1))(12(4-1)+2(2+1)-13(23+1))
=32+6−332+6-3
=92
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