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Consider the area shown below. The top curve (in blue) is y = x, and the bottom curve (in red) is y = x², and we have used the notation Dy for Ay. Write a Riemann sum for the area, using the strip shown: Riemann sum = Σ Now write an integral that gives this area Så where a = area = Finally, calculate the exact area of the region, using your integral and b = Note: You can earn partial credit on this problem. (Click on the figure for a larger version.) E.g. "(5x +3) Dx" or "(y^2) Dy" . E.g. "(5x +3) dx" or "(y^2) dy"

Consider the area shown below. The top curve (in blue) is y = x, and the bottom curve (in red) is y = x², and we have used the notation Dy for Ay. Write a Riemann sum for the area, using the strip shown: Riemann sum = Σ Now write an integral that gives this area Så where a = area = Finally, calculate the exact area of the region, using your integral and b = Note: You can earn partial credit on this problem. (Click on the figure for a larger version.) E.g. "(5x +3) Dx" or "(y^2) Dy" . E.g. "(5x +3) dx" or "(y^2) dy"

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the area shown below. The top curve (in blue) is y = √√x, and the bottom curve (in red) is y = x², and we have used the notation Dy for Ay. Write a Riemann sum for the area, using the strip shown: Riemann sum = Now write an integral that gives this area So where a = area = Finally, calculate the exact area of the region, using your integral and b = Note: You can earn partial credit on this problem. (Click on the figure for a larger version.) . E.g. "(5x +3) Dx" or "(y^2) Dy" E.g. "(5x+3) dx" or "(y^2) dy"
Transcribed Image Text:Consider the area shown below. The top curve (in blue) is y = √√x, and the bottom curve (in red) is y = x², and we have used the notation Dy for Ay. Write a Riemann sum for the area, using the strip shown: Riemann sum = Now write an integral that gives this area So where a = area = Finally, calculate the exact area of the region, using your integral and b = Note: You can earn partial credit on this problem. (Click on the figure for a larger version.) . E.g. "(5x +3) Dx" or "(y^2) Dy" E.g. "(5x+3) dx" or "(y^2) dy"
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