Consider the line integral,
$\int _ c$f(x,y)$\vec dr$ , where $f(x,y)$ is a scalar field, and it is evaluvated on a curve $c $. After integration we get a vector let it be $\vec I$ .
$\int _ c$f(x,y)$\ dr$, hear differential element is a scalar ( magnitude of $\vec dr$ ), After integration we get a scalar, Let it be K , As usually I think
|$\vec I$| = K ,
But most of the cases it is not true, Can u please clear my concept?