Evaluate the definite integral (-2t+4)dt in each of the following ways: a) by estimating the value using the Midpoint Rule with n=6 rectangles. b) by interpreting it as a difference in areas, using the strategy shown in Example 5 on page 390 of our textbook. Please include a sketch of the area region(s) to support your work. c) by using the formal limit definition of the definite integral from Theorem 4 on page 387 of our textbook.

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