The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12
Accepted Solution
A:
The area of the resulting figure will be given by: ∫f(x)dx f(x)=13/2x^3 thus ∫f(x)dx=13/2∫x³dx=13/8[x^4] integrating over the inerval 13/8(12^4)-13/8(5^4) =32680+3/8 sq. units =