# Math Help - calculus word problem

1. ## calculus word problem

Find the volume created by rotating the area bounded by the curves
y =

x2 4x + 4 and y = x about the line x = 1.

2. Originally Posted by singh1030
Find the volume created by rotating the area bounded by the curves
y =
x2 4x + 4 and y = x about the line x = 1.
By the shell method, the volume is given by:

$V = 2 \pi \int_a^b (\mbox{radius})(\mbox{height})~dx = 2 \pi \int_a^b (1 + x)(f(x) - g(x))~dx$

here, $a$ and $b$ are the points of intersection of the two graphs. with $a \le b$. $f(x)$ is the upper function, and $g(x)$ is the lower function.

can you continue?