SOLUTION: Hi, I'd like some help on this question please; Find the volume generated when the area bounded by the curve y = x^2 + 2, the line x = 1, and the axes, is rotated through 360

Question 946557: Hi,
I'd like some help on this question please;
Find the volume generated when the area bounded by the curve y = x^2 + 2, the line x = 1, and the axes, is rotated through 3600 around the y-axis.
I'm using the limits 3 and 0, with the integral function y^2/2 - 2y, giving 3pi/2; can't see where I'm going wrong as the given answer is 5pi/2.
Thanks,
R
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the volume generated when the area bounded by the curve y = x^2 + 2, the line x = 1, and the axes, is rotated through 3600 around the y-axis.
I'm using the limits 3 and 0, with the integral function y^2/2 - 2y, giving 3pi/2; can't see where I'm going wrong as the given answer is 5pi/2.
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The INT of x^2 + 2 is

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