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Question

(a) Estimate the area under the graph of

f(x) = 4 + 4x^{2} from x = −1 to x = 2 using three rectangles and right endpoints.

*R*_{3} =

Then improve your estimate by using six rectangles.

*R*_{6} =

Then improve your estimate by using six rectangles.

(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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Math

Calculus

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