If we want to find the area between the curves x = −y 2 + 1 and x = y 2 − 1, shall we integrate with respect to x, or with respect to y? Are the infinitesimal rectangles horizontal, or vertical? A diagram with the curves may help. Do not try to find the actual area.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 2A: Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
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If we want to find the area between the curves x = −y 2 + 1 and x = y 2 − 1, shall we integrate with respect to x, or with respect to y? Are the infinitesimal rectangles horizontal, or vertical? A diagram with the curves may help. Do not try to find the actual area.

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