Consider the volume V of the solid generated by rotating the region bounded byy = sin(x) forx E [0, g], and y = 1 around the yaxis. In this problem you may use any formula from lectures. (a) (1 point) Sketch the region of interest. (b) (3 points) Express the volume as an integral with respect to x by slicing the region x E [0, 7r/2]. (c) (3 points) Express the volume as an integral with respect to y by slicing the region y E [0, 1]. (d) (3 points) Determine [)1 (arcsin(l'))2 dz