v = ∫[0,1] 2πrh dx
where r = x and h = y = 9e^(-x^2)
v = ∫[0,1] 2πx*9e^(-x^2) dx
use u = -x^2, du = -2x dx and you have
v = ∫[0,-1] -9πe^u du
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis.
y = 9e^−x^2, y = 0, x = 0, x = 1
1 answer
1 answer