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13 Nov 2019
Find f(x) if f"(r)-z? + r2 and f,(2)-6 and f(1)--3. (a) Approximate J' In() dr by computing the sum of the area of 5 rectangles wit right-hand or left-hand endpoints of intervals to find rectangle heights. (b) You r 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(a)- In(x) - z is an antiderivative of In(x). (d) Using the FTC, calculate Ji In(r) dr. (Hint: make sure this agree with what you found above)
Find f(x) if f"(r)-z? + r2 and f,(2)-6 and f(1)--3. (a) Approximate J' In() dr by computing the sum of the area of 5 rectangles wit right-hand or left-hand endpoints of intervals to find rectangle heights. (b) You r 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(a)- In(x) - z is an antiderivative of In(x). (d) Using the FTC, calculate Ji In(r) dr. (Hint: make sure this agree with what you found above)
Collen VonLv2
19 May 2019