Find the area of the region bounded by the curves. y = x^2 - 2x, y = x+4.
When I work out this problem, I receive -125/6. The solution is 125/6. Could someone please work this problem out and pinpoint my mistake? Thanks for any replies!
When I work out this problem, I receive -125/6. The solution is 125/6. Could someone please work this problem out and pinpoint my mistake? Thanks for any replies!
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You're either integrating from right to left or mixing up the top and bottom curves. They intersect at -1 and 4, and the line is above the quadratic. So the area is
4
∫ (x + 4) - (x² - 2x) dx = 125/6
-1
4
∫ (x + 4) - (x² - 2x) dx = 125/6
-1