Asked by Anonymous
Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x^3 and y = x.?
I know how to use the midpoint rule to get the area under a curve but I'm confused on how to get the area between the two curves. Do I subtract them somehow? How do I set it up?
I know how to use the midpoint rule to get the area under a curve but I'm confused on how to get the area between the two curves. Do I subtract them somehow? How do I set it up?
Answers
Answered by
Steve
yes. the height of each rectangle is the distance between the curves: x-x^3
or, you can consider finding the area below y=x and then subtracting from that the area below y=x^3
or, you can consider finding the area below y=x and then subtracting from that the area below y=x^3