Question

the curve y = 3x^{1/4}. The shaded region is bounded by the curve, the x-axis and
the lines x = 1 and x = 4. Find the volume of the solid obtained when this shaded region is rotated completely about the x-axis, giving your answer in terms of π.

Answer 1

\[\int\limits_{1}^{4} \pi{(3x^{1/4})}^2dx\]

Answer 2

That'll do, thank you!