Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the curves y=cos(πx/2), y=0, x=0, and x=1 about the y-axis

1,45 cubic units

Step-by-step explanation:

The method of cylindrical shells demands that the volume of the solid is given by:

      (1)

In this case you have that f(x) is:

a = 0

b = 1

First, you solve the integral, by parts:

Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):

hence, the volume of the solid generated is 1,45 cubic units

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