Shell method

A region $R$R is bounded above by the graph of $y=\cos x$y, equals, cosine, x, bounded below by the graph of $y=\sin(x^2)$y, equals, sine, left parenthesis, x, squared, right parenthesis, and bounded on the right by the $y$y-axis.

The upper and lower curves intersect at $x=c$x, equals, c for some constant $c<0$c, is less than, 0.

Rotating region $R$R about the vertical line $x=2$x, equals, 2 generates a solid of revolution $S$S.