MATH SOLVE

5 months ago

Q:
# 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

=

∫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

=