Math CentralQuandaries & Queries


Question from Rogerson, a student:

Thanks for helping me with the previous problem. Can I ask you to help me again in this one? Thanks.

Find the area, S, enclosed by the given curve(s) and the given line.
y = x^2 - x - 1, y = x+2

Thanks a lot. You're a great help :)


Draw a diagram!!!


This time there is a region bounded by the two curves that has an area.

Solve the two equations to find the points where the curves intersect, x = a and x = b with a ≤ b. Between a and b the line is above the parabola so the area bounded by the curves is



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