If I understand correctly what you mean by
"midpoint approximation" you are splitting the region up into 3 rectangles, each has a width of 2
and its height is determined by the midpoint of the base of each of the rectangles.
first of all I don't see where your points come from.
the left-most rectangle goes from -8 to -6, so its base runs along (-7,-511)
(sub -7 into your given function to get -511)
similarly the middle rectangle has its base on (-5,-275) and the righ-most rectangle has its base on (-3,-111)
the the area would be
2x511 + 2x275 + 2x111 = 1794
(The accurate Calculus calculation gave me 1812, so not bad for the above result)
integral from -2 to -8
(10x–9x^2)dx
use midpoint approximation with n=3
my points were
(-8,-6)
(-6,-4)
(-4,-2)
i added them up and dividded by two the plugged it into the orginal eqautipon.
The number i got i added and multpiled by three but still got the wrong answer.
Please help me!
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