The area between the curve y=sin2x, the x-axis between 0 and 1 and the line x=1 is rotated through 360 degrees about the x-axis.
a) Sketch the area described.
b) Write down an integral expression for the volume of the solid formed.
c) Find this volume.
That's the whole question, I provided a,b, and c for completeness. What I need some explanation on is with regards to the line x=1.
I drew 2 functions on the same set of axes: y=sin (x+pi/4) and x=1...
Is that right?
Well, then there is still two equations: y=something and x=something, so how am I supposed to work that out?
The answer in the book only works out the solution with the y=sin2x equation, which I am able to work out
However, I don't understand the x=1. If it still bounds the area, then isn't it still one of the equations....?