Question

The region bounded by the curve y=x²-2 and the line y=-2 and x=2 is rotated about the line y=-2. Calculate the volume of the solid formed.

Answer 1

graph: y= x²-2, y=-2, x=2

r= x²-2-(-2): r=x²-4

v= $\prod\int$^b_a r²dx

= $\prod\int$(x²-4)²dx

=16$\prod$/9