Recent questions tagged line-integral

Consider the line integral $\int_{C} \boldsymbol{F}(\boldsymbol{r}) \cdot d \boldsymbol{r}$, with $\boldsymbol{F}(\boldsymbol{r})=x \hat{\boldsymbol{\imath}}+y \hat{\bold...

A vector $u=-2y\hat{i}+2x\hat{j}$, where $\hat{i}$ and $\hat{j}$ are unit vectors in $x$ and $y$ directions, respectively. Evaluate the line integral$$I=\oint _{C}u.dr$$w...