Question

Find the area bounded by y = (11 - x)^3, the lines y=x and the x-axis. *

Answer 1

Explanation:

According to second theorem of Guldino, volume obtined by a rotation of a section bounded by a function f(x) 

and the x-axis between a and b is :$V=\pi\int_a^bf^2(x)dx$

In our case, we have 

$V= \pi \int_1^2e^{(2x)}dx=\pi/2(e^4-e^1)$

so it will be: $Y=(11-x)^3$

$=(11-4)^3=343$