Explanation Given : x = 2 , x = − 1 y = x 2 , x = − 1 , x = 2 , y = 0 Formula Used: The area of region R between the curves defined by curves y = f ( x ) and y = g ( x ) from x = a to x = b is calculated by subtracting the area between the lower curve and x-axis from the area between the upper curve and x-axis A = ∫ a b | f ( x ) − g ( x ) | d x Calculation: Curves are given as y = x 2 , y = 0 And interval is x = 2 , x = − 1 Sketching the region between the curves and interval x = 2 , x = − 1 Shaded region in above graph represents the region between the curves Area between the curves is calculated as follows: A = ∫ − 1 2 | x 2 − 0 | d x A = ∫ − 1 2 x 2 d x A = ∫ − 1 0 − x 2 d x

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6.1, Problem 27PS

To determine

To sketch the region bounded between the curves and then find the area of region

x=2,x=−1y=x2,x=−1,x=2,y=0

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Chapter 6.1, Problem 26PS

Chapter 6.1, Problem 28PS

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Chapter 6 Solutions

Calculus

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To sketch the region bounded between the curves and then find the area of region x = 2 , x = − 1 y = x 2 , x = − 1 , x = 2 , y = 0

Solution Summary: The author calculates the area of region R between the curves, based on the following formula.

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To sketch the region bounded between the curves and then find the area of region

x=2,x=−1y=x2,x=−1,x=2,y=0

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Chapter 6 Solutions

To sketch the region bounded between the curves and then find the area of region x = 2 , x = − 1 y = x 2 , x = − 1 , x = 2 , y = 0

Solution Summary: The author calculates the area of region R between the curves, based on the following formula.

Concept explainers

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To sketch the region bounded between the curves and then find the area of region x=2,x=−1y=x2,x=−1,x=2,y=0

Want to see the full answer?

Chapter 6 Solutions

To sketch the region bounded between the curves and then find the area of region

x=2,x=−1y=x2,x=−1,x=2,y=0