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Using Integrals to Find the Area Bounded Between Curves

Sketch the region bounded between the given curves and then find the area of each region for 16 and 22.

16) y=x^2+3x-5, y=-x^2+x+7

22) x axis, y=x^3-2x^2 -x+2

28) Find the area of the region that contains the origin and is bounded by the lines 2y=11-x and y=7x+13 and the curve y=x^2-5.

Please see the attached file for the fully formatted problems.


Solution Summary

Integrals are used to find the area bounded between curves. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.