MAT 21B Study Guide - Midterm Guide: Polynomial Long Division, Good Luck!!, Antiderivative
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MAT 21B Full Course Notes
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5. 1 - 5. 2 estimating with finite sums, summation notation, and riemann sums. 5. 2 - 5. 3 riemann sums (continued) and the definite integral. 5. 4 applications of the definite integral, mean value theorem for definite integrals, and the fundamental theorem of calculus. 5. 4 - 5. 5 fundamental theorem of calculus proofs, indefinite integrals, and substitution. 5. 6 and 6. 1 integrals and symmetry area of a plane region and volumes using cross-sections. 5. 1 - 5. 2 estimating with finite sums, summation notation, and riemann sums (cid:404). (cid:400) estimating with finite sums ex 1: area. Estimate the area under = $ for 0 2. Cut the interval [0, 2] into 4 equal pieces. If we approximate the area of each vertical strip by the are of a rectangle we get the following: the original (blue) rectangles. If the height of each rectangle is the function value at: the right endpoints, we get. 1 (upper sum: the left endpoint, we get. 1 (lower sum: the midpoints, we get.
