How would you draw a cylinder for the shell method for the region that is enclosed by x = pi/2, x = -pi/2 and y = cosx?
This is rotated about y = -1.

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@jim_thompson5910

the definite integrand of f(x)=cosx from -pi/2 to pi/2
sinx from -pi/2 to pi/2 = 1-(-1)=2

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