The region bounded by the curve y = x^2 + 1, the x-axis, the y-axis and the line x = 2 is rotated completely about the x-axis. Find, in terms of , the volume of the solid formed.
Using x = 2, the lines should meet at y = 2^2 + 1 = 5. And the vertex is probably at 1, we have the integral limits of 1 and 5.
Volume of the revolution is given by:
Using the above doesn't give me the correct answer, so I probably am not doing it right.