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Home  Applications of the Integral Some Applications to Physics Examples Example 4 |
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Example 4
Find the centroid of the triangular region R bounded by the x-axis, the y-axis, and the line y = 1 - ½x shown in Figure 6.6.11. R is the region under the curve y = 1 - ½x from x = 0 to x = 2. The area of R is
The centroid is
Thus the centroid is the point (⅔, ⅓).
Figure 6.6.11
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where
Last Update: 2006-11-15