Today we reviewed the idea of using limits of Riemann sums to find the area of a region with a curved boundary. We also reviewed the definite integral sign and how each part reminds us of part of the integration process. We then looked closely at lower and upper sums, defined f to be integrable if the lower and upper sums approach the same limit; we ended by looking at a function that is integrable even though it has a discontinuity and we looked at a function that is not integrable (it has an infinite number of discontinuities)
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Today we reviewed the idea of using limits of Riemann sums to find the area of a region with a curved boundary. We also reviewed the definite integral sign and how each part reminds us of part of the integration process. We then looked closely at lower and upper sums, defined f to be integrable if the lower and upper sums approach the same limit; we ended by looking at a function that is integrable even though it has a discontinuity and we looked at a function that is not integrable (it has an infinite number of discontinuities)
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