Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revoltuion (found using the shell method) is given by the integral. π
2π∫ xsinx dx
0

See attached picture.

Step-by-step explanation:

The idea of the shell method is to find the volume of a differential shell by using the formula:

in the drawing we can see that r=x, h=sin x and dr=dx. The area is revolving about the y-axis from x=0 to . So the volume is found by using the following integral:

sorry, i don't know i just need points, i'm new here. chao

1/800 is the right answer