2. a. Sketch the region R bounded by the curves cos^-1 (x), x = 0, y = 0.

b. Indicate the method you would use to set up the integrals (do not

integrate) that give the volume of the solid generated by rotating the

region R around

i. the x-axis.

ii. the y-axis.

iii. the line x = – 1.

Hint: The line x = 0 is the y-axis and the line y = 0 is the x-axis, so the

area is bounded by the inverse of cosine and the axis.