II The region R is the region bounded by y = e^x , the x-axis, from x = 0 to x = 1. (a) Set up the integral or integrals needed to find the area of R using partitions along the x-axis and then using partitions along the y-axis. (b)Using the method of disks or washers, set up the integral or integrals needed to find the volume when the region R is revolved about (i) the x-axis (ii) the y-axis ( iii) the line y = e. (c)Using the method of cylindrical shells, set up the integral or integrals needed to find the volume when the region R is revolved about (i) the x-axis (ii) the y-axis (iii) the line y = e.
Image text
II The region R is the region bounded by y = e^x , the x-axis, from x = 0 to x = 1. (a) Set up the integral or integrals needed to find the area of R using partitions along the x-axis and then using partitions along the y-axis. (b)Using the method of disks or washers, set up the integral or integrals needed to find the volume when the region R is revolved about (i) the x-axis (ii) the y-axis ( iii) the line y = e. (c)Using the method of cylindrical shells, set up the integral or integrals needed to find the volume when the region R is revolved about (i) the x-axis (ii) the y-axis (iii) the line y = e.
