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bugatti79
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Homework Statement
Use greens theorem to evaluate this line integral [itex]\oint_{C} 6xy- y^2[/itex] assuming C is oriented counter clockwise. The region bounded by the curves y=x^2 and y=x.
Homework Equations
[itex] \displaystyle \int\int_{R}\Bigl( \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\Biggr) = \oint_{C} Pdx + Qdy[/itex]
I calculate
[itex] \displaystyle \oint_{C} 6xy- y^2 dx= \int_{0}^{1} \int_{x^2}^{ \sqrt x} (-6x+2y)dy dx [/itex]
This correct start?