Rotation about the Y-axis y f(x) R y f(x), = is a single valued function and the region is bounded by the function = the X-axis and xa xb. ya f(xa) yb f(xb) the vertical lines and The Y-axis limits are = = V R The volume of the solid of revolution obtained by revolving a region about the Y-axis is CYLINDRICAL SHELL METHOD This is often the best method to use for the rotation around the Y-axis of the region bounded by the and a function .
Rotation about the Y-axis y = f(x) is a single valued function and the region R is bounded by the function y = f(x), the X-axis and the vertical lines xa and xb. The Y-axis limits are ya = f(xa) yb = f(xb) The volume V of the solid of revolution obtained by revolving a region R about the Y-axis is CYLINDRICAL SHELL METHOD This is often the best method to use for the rotation around the Y-axis of the region bounded by the and a function .
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