705 Centroid of parabolic segment by integration
Problem 705
Determine the centroid of the shaded area shown in Fig. P-705, which is bounded by the x-axis, the line x = a and the parabola y2 = kx.
parabolic segment
Example 5 | Plane Areas in Rectangular Coordinates
Example 5
Find the area between the curves 2x2 + 4x + y = 0 and y = 2x.
Example 2 | Volumes of Solids of Revolution
Example 2
Find the volume generated when the area in Example 1 will revolve about the y-axis.
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Example 3 | Plane Areas in Rectangular Coordinates
Example 3
Find the area bounded by the curve x = y2 + 2y and the line x = 3.
Example 1 | Plane Areas in Rectangular Coordinates
Example 1
Find the area bounded by the curve y = 9 - x2 and the x-axis.