Greens theorem

Posted on: Tue Feb 20 2024 05:30:00 GMT+0530 (India Standard Time)

Resources

1. Video Lecture

Green’s theorem relates the line integral around a closed curve with a double integral over the region inside the curve:

$$ \int_{C} F \cdot ds = \int \int_{D} (curl F)\cdot k dA $$

$$ \oint_C \textbf{f}\cdot d\textbf{r} = \iint\limits_R \left( \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \right)dA $$

References

• Source 1