Problem 2
Consider the region between sinx,cosx for 0<=x<=(pi )/(4). Find the volume of the shape
created by rotating this region around the line y=2.
Hint - Some of the following may be useful:
cos(2x)=cos^(2)(x)-sin^(2)(x),sin^(2)(x)=(1)/(2)(1-cos(2x)),cos^(2)(x)=(1)/(2)(1+cos(2x))
Problem 2 Consider the region between sin x, cos x for 0 x /4. Find the volume of the shape created by rotating this region around the line y = 2.
Hint - Some of the following may be useful: cos(2x)=cos(x)-sin(x),sinx)=(1-cos(2x),cos(x)=(1+cos(2x))