- #1
jonroberts74
- 189
- 0
Homework Statement
##\mathscr{C}: x=1,x=3,y=2,y=3##
##\int_\mathscr{C} (xy^2-y^3)dx+(-5x^2+y^3)dy##
Homework Equations
The Attempt at a Solution
##\frac{\partial Q}{\partial x} = -10x^2 \,\,; \frac{\partial P}{\partial y} = 2xy-3y^2##
##\int\int_\mathscr{C} \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} dA = \displaystyle \int_{2}^{3}\int_{1}^{3} (-10x^2-2xy+3y^2)dxdy = -\frac{206}{3}##