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NIELIT 2016 MAR Scientist C - Section B: 18

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Find the volume of the solid obtained by rotating the region bound by the curves $y=x^3+1, \: x=1$, and $y=0$ about the $x$-axis

  1. $\dfrac{23\pi}{7} \\$
  2. $\dfrac{16\pi}{7} \\$
  3. $2\pi \\$
  4. $\dfrac{19\pi}{7}$
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