The region bounded by y=xe−xy=xe^{-x}y=xe−x, the xxx-axis and the lines x=0x=0x=0 and x=1x=1x=1 is rotated through 2π 2\pi\,2π radians about the xxx-axis.
Find the exact volume of the solid formed.
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Markscheme
3 Unit A2 1: Pure Mathematics (A-level only) Questions