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About LinkBacksUse the Shell Method to calculate the volume of rotation about the x-axis for the region underneath the graph.
on interval [1,4]
Hi,
I set it up like that because if you solve for x of this:you get
.
Is that correct? I don't think it can be because you distribute the y in the integral you simply get y^0 which is just, correct? Please feel free to correct me because I am pretty sure my logic is wrong haha
look at the graph of the region (attached).Originally Posted by johnleyfield
Hi,
I set it up like that because if you solve for x of this:
Is that correct? I don't think it can be because you distribute the y in the integral you simply get y^0 which is just
if you must use cylindrical shells, then you need to break it up into two integrals, because the length of your representative rectangles change ...
 \, dy + 2\pi \int_{\frac{1}{4}}^1 y\left(\frac{1}{y} - 1\right) \, dy<br />
)
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