Calculus II, Section6.2, #34 Volumes Set up an integral ...

in Figure 1. We know x2+y2 = 1 is the unit circle, but because we are told y ≥ 0, we only use the top half. 1-1 1 x y Figure 1 Beforewe canset up the integralforthe volume ofthe solidofrevolution, weneed to find the coordinates of the points where the curves intersect. We solve x2 = p 1−x2 x4 = 1−x2 x4 +x2 −1 = 0 Let w = x2, then w2 ... ................
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