find the area bounded by the curves

• Oct 20th 2009, 05:26 PM
yoman360
find the area bounded by the curves
$\displaystyle y=x^4$
y=1

I've tried this numerous times and I just don't get how to do it.

**edit** I meant to say volume not area
• Oct 20th 2009, 05:35 PM
VonNemo19
Quote:

Originally Posted by yoman360
$\displaystyle y=x^4$
y=1

I've tried this numerous times and I just don't get how to do it.

Start by finding the points of intersection to find the limits of integration. And, by the way, I think that you are to find volume not area. Hence the rotation.

Then recall washer method:

$\displaystyle V_{solid}=\pi\int_a^b[(R)^2-(r)^2]dx$
• Oct 20th 2009, 05:46 PM
yoman360
Quote:

Originally Posted by VonNemo19
Start by finding the points of intersection to find the limits of integration. And, by the way, I think that you are to find volume not area. Hence the rotation.

Then recall washer method:

$\displaystyle V_{solid}=\pi\int_a^b[(R)^2-(r)^2]dx$

this is what I get:
points of intersections: (-1,1) & (1,1)
then
$\displaystyle \pi \int_{-1}^1 [R^2-r^2] dx$

I don't know if thats correct. And how do i find R and r?