SOLUTION: Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x.

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Question 1119908: Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
You didn't give limits so I'll make my own.
You can modify the solution as needed.
.
So find the area between and .
The four regions are from
to

to

to

to

Find the difference of the functions at the midpoints,

So,




Sum the differences and multiply by the step in x ,




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