# Volume of a rotation

a) Take the region bounded by y = cos x and y = 1 - x for 0 â‰¤ x â‰¤ and rotate about the line

x = . Set up the integral which calculates the volume of rotation (using one variable only).

b) Complete the integration without using integral formulas or calculator estimates. (Please show work on this so that I can see what to do, I am really lost on this)

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Let , . They intersect at two points and . We can compute the volumes of ...

#### Solution Summary

This shows how to set up an integral to calculate the volume of a solid generated by rotation.

$2.19