In: Math
1-) Set up (but DO NOT COMPUTE) an integral for the volume of the solid obtained by rotating the region bounded by the graphs of y = 0, y = √ x − 2, and x = 4 around the y-axis.
2-) Find the area enclosed by one petal of the four-leaved rose curve r(θ) = sin(2θ).
#1
For point of intersection
Volume of solid rotating about y-axis
#2
Area enclosed by one petal
(Because )