MAT 1332 Lecture 3: DGD3.pdf

Consider the functions f(x)=cos x and g(x)=sin x

a) Sketch the region and find the area enclosed by the curves, the y-axis and the line x=pi/2.

b) The region bounded by f and g on the interval [pi/4 ,pi/2] is revolved about the line y=1. Find the volume of the solid generated.