solving double integrals with two variables

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I have an exam tomorrow that involves solving integrals like

$$ \oint{Q dy + P dx}$$

by converting them to

$$ \int{ \bigg(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\bigg)dy dx}$$

Could someone tell me what this method called and where I could find some problems to solve in this subject, thanks.