# Homework Help: Integral Problem

1. Nov 12, 2006

### Tom McCurdy

The problem:

Evaluate the integral
$$\oint_{c} Fdr$$ for $$F = (2xy^4)i+(2x^2y^3)j$$ on the curve C consisting of the x-axis from x=0 to x=1, the parabola y=1-x^2 up to the y-axis, and the y-axis down to the origin

Here is what I tried

F(x,y)=$$<2xy^4,2x^2y^3>$$

$$\int\int_{D} =[(2x^2y^3)*\frac{\partial}{\partial x}-(2xy^4)\frac{\partial}{\partial y}] dA$$

= $$\int_{0}^{1} \int_{1-x^2}^{0} [4xy^3-8xy^3] dy dx$$

=1/10

Last edited: Nov 12, 2006
2. Nov 12, 2006

### Tom McCurdy

Ok I have redone this problem... multiple times... and now I am getting

-1/10

can someone confirm this for me, I am out of tries on my submission so I need to be sure when I submit this problem

3. Nov 13, 2006

### Tom McCurdy

alright I solved it nevermind

4. Nov 13, 2006

### Office_Shredder

Staff Emeritus
I am so confused by the double integral