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If the curve y = ex/6 sin(x), x 0, is rotated about the x-axis, the resulting solid looks like an infinite decreasing string of

If the curve y = ex/6 sin(x), x 0, is rotated about the x-axis, the resulting solid looks like an infinite decreasing string of beads. (a) Find the exact volume of the nth bead. (Use either a table of integrals or a computer algebra system.) (b) Find the total volume of the beads. 4.585

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