I used the shell method, I don't know what I am doing wrong.
https://www.desmos.com/calculator/ldsrxkjtxg
#Using shell method to find the shape of a unknown volume
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Well, for shell integration around the x-axis we have:
dV = 2πy f(y)dy
In our case f(y) = e^(y/2) and the limits are 0 < y < 2.
But does it matter what axis we use? as long as we get the right shell, right? Can you find what I did wrong in the desmos project?
Can't we also integrate in regards to the shell radius? Instead of the shell height?
Shell method sucks, disk method 🔛 🔝