Question

(a) Estimate the area under the graph of 

f(x) = 4 + 4x2 from x = −1 to x = 2 using three rectangles and right endpoints.
R3 = 

Then improve your estimate by using six rectangles.
R6 = 
 
(B) Repeat part a using left endpoints
L3=
L6= 
 
(c) Repeat part a using midpoints
M3=
M6=
 
(d) From your sketches in parts (a)-(c), which appears to be the best estimation? 
 
 

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