Mathlean · Online math workspace

Complex contour integral calculator

Evaluate supported complex integrals with an explicit contour.

How to use this calculator

The starter integrates 1/z around the circle of radius 2 centered at zero, counterclockwise. Edit the integrand or radius.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

∮∣z∣=21z dz\oint_{|z|=2}\frac{1}{z}\,dz

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Orientation and enclosed singularities matter. Do not place a pole on the contour or omit the contour specification.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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