line integral

If C represents a line segment between (0,0,0) and (1,1,1) in Cartesian coordinate system, the value (expressed as integer) of the line integral $\int_C [(y+z)dx+(x+z)dy+ (x + y)dz...

The value (up to two decimal places) of a line integral $\int_{C} \mathbf{F}(\mathbf{r}) \cdot d\mathbf{r}$, for $\mathbf{F}(\mathbf{r})=x^{2}\hat{i}+y^{2}\hat{j}$ along C which is...

The line integral $$\int {\,\,V.dr\,\,} $$ of the vector function $$V\left( r \right) = 2xyz\widehat i + {x^2}z\widehat j + {x^2}y\widehat k\,\,$$ from the origin to the point $$P(...

Value of the integral $$\,\,\oint {xydy - {y^2}dx,\,\,} $$ where, $$c$$ is the square cut from the first quadrant by the line $$x=1$$ and $$y=1$$ will be (Use Green's theorem to ch...