- #1
PhizKid
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Homework Statement
Volume of the region bounded by 1/x^4, y = 0, x = 2, and x = 6 about the axis y = -4
Homework Equations
The Attempt at a Solution
The height for any shell is x(y) - 2, or [itex]\sqrt[4]{\frac{1}{y}} - 2[/itex]
The radius of any shell is y + 4
So the circumference is 2*pi*(y + 4), and the surface area is then [2*pi*(y + 4)] * [itex][\sqrt[4]{\frac{1}{y}} - 2][/itex]
So I integrate this from 0 to 1/(2^4) because y(2) = 1/(2^4) which is the upper boundary on the y-axis and the lower boundary is 0.
Where did I go wrong?