V1- a² dx a) The integral above corresponds to the sum of the two shaded areas on the right. What is the area of the triangle shaded in blue? b) The remaining area shaded in purple is a sector of a circle. Recall that the area of a sector is Use inverse sin to determine the area of purple region. c) What can we conclude | V1- x² dæ is equal to?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 9E
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V1- x² dx
a) The integral above corresponds to the sum of the two
shaded areas on the right. What is the area of the
triangle shaded in blue?
b) The remaining area shaded in purple is a sector of a
circle. Recall that the area of a sector is
().
0 - p2
Tr2 =
27
2
Use inverse sin to determine the area of purple
region.
c) What can we conclude
| V1 - 2² dx is
equal to?
Transcribed Image Text:V1- x² dx a) The integral above corresponds to the sum of the two shaded areas on the right. What is the area of the triangle shaded in blue? b) The remaining area shaded in purple is a sector of a circle. Recall that the area of a sector is (). 0 - p2 Tr2 = 27 2 Use inverse sin to determine the area of purple region. c) What can we conclude | V1 - 2² dx is equal to?
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