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13 Nov 2019
å (a) Approximate In(x) dx by computing the sum of the area of 5 rectangles with base 1 using either right-hand or left-hand endpoints of intervals to find rectangle heights. (b) Your approximation is either an overestimate or an underestimate (depending on which endpoints you chose). State which endpoints you chose and whether your estimate is less than the area under the curve or greater than the area under the curve. (c) Verify that F(z) = x ln(x)-z is an antiderivative of ln(z) (d) Using the FTC, calculate J In(x) dz. (Hint: make sure this agree with what you found above)
å (a) Approximate In(x) dx by computing the sum of the area of 5 rectangles with base 1 using either right-hand or left-hand endpoints of intervals to find rectangle heights. (b) Your approximation is either an overestimate or an underestimate (depending on which endpoints you chose). State which endpoints you chose and whether your estimate is less than the area under the curve or greater than the area under the curve. (c) Verify that F(z) = x ln(x)-z is an antiderivative of ln(z) (d) Using the FTC, calculate J In(x) dz. (Hint: make sure this agree with what you found above)
Casey DurganLv2
6 May 2019