MAT136H1 Lecture Notes - Riemann Sum
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MAT136H1 Full Course Notes
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Question #1 (easy): riemann sum using the midpoints. Riemann sum using the midpoints as sample points are calculated as: midpoint for each subinterval is determined by . Riemann sum represents the sum of all the rectangles under the curve. For increasing functions, left endpoints are associated with the lower estimate, and the right endpoints the upper estimate. Likewise, for decreasing functions, vice versa, meaning the left endpoints give the upper estimate and the right endpoints the upper estimate. , where the: find the riemann sum for , with . Solution means there are 4 rectangles under the curve. This means the interval is sliced into 4 pieces: width of each rectangle is. Plugging in the input values to the riemann sum expression:
