# Thread: find the area bounded by the curves

1. ## 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

2. 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:

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

3. 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?