Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its centroid at (x, y). The y coordinate of the centroid y is equal to म (1 - tan² y) dy 25 (1 tan y) dy SxArctanxdx 2¹ Arctanxdx Sy(1 - tan y)dy 25 (1 - tany) dy (Arctanx) dx 2 Arctanxdx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its centroid
at (x, y).
The y coordinate of the centroid y is equal to
म
(1 - tan² y) dy
25 (1 tan y) dy
SxArctanxdx
2¹ Arctanxdx
Sy(1 - tan y)dy
25 (1 - tany) dy
(Arctanx) dx
2 Arctanxdx
Transcribed Image Text:Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its centroid at (x, y). The y coordinate of the centroid y is equal to म (1 - tan² y) dy 25 (1 tan y) dy SxArctanxdx 2¹ Arctanxdx Sy(1 - tan y)dy 25 (1 - tany) dy (Arctanx) dx 2 Arctanxdx
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