Line Integral Calculator

What this integral is measuring

A scalar line integral accumulates the function value along a path, scaled by how quickly the path moves through the plane.

That is why the calculator needs both a scalar field $f(x,y)$ and a parameterized curve $[x(t), y(t)]$ .

Use the path preview to verify the curve shape before trusting the final numeric result.

Use $pi$ , $sin$ , $cos$ , and powers like $x^2$ .
Write the curve with square brackets, for example $[t, t^2]$ .
Keep the bounds in terms of the same parameter $t$ used in the curve.
Start with a preset, then switch to custom when you want to edit the expressions.