Green’s theorem calculator
Integrate polynomial vector fields around a rectangle or axis-aligned ellipse, with working.
Open calculatorEquations, calculus and coordinates, with the method made visible.
Showing 1–20 of 20 tools
Integrate polynomial vector fields around a rectangle or axis-aligned ellipse, with working.
Open calculatorFind slope, intercept and the line through two distinct points.
Open calculatorSolve ax² + bx + c = 0, including repeated and complex roots.
Open calculatorFind the smaller angle between ideal hour and minute hands.
Open calculatorNormalize a bearing and see its nearest 16-point compass direction.
Open calculatorFind distance and the halfway point between two Cartesian coordinates.
Open calculatorEstimate a value between two reference points using a straight line.
Open calculatorAdd, subtract, multiply or divide two fractions with exact integer arithmetic.
Open calculatorCombine matching matrix entries and see the exact sum or difference.
Open calculatorMultiply compatible matrices with exact entries and a row-by-column worked example.
Open calculatorFind the exact determinant of a square matrix and follow the elimination steps.
Open calculatorInvert a square matrix using exact row operations, or see why no inverse exists.
Open calculatorReduce a rectangular matrix exactly and identify its rank, nullity and pivot columns.
Open calculatorSolve small rational linear systems and distinguish unique, inconsistent and free-variable cases.
Open calculatorCalculate sums, dot and cross products, lengths, angles and projections in one place.
Open calculatorFind exact area, centroid, orientation and angle type from three planar vertices.
Open calculatorFind a 3D plane equation, a normal vector and its distance from the origin.
Open calculatorFind the exact center, squared radius and equation of a planar circumcircle.
Open calculatorCalculate a simple polygon’s exact area and centroid from its ordered vertices.
Open calculatorAdd, subtract, multiply or divide rational complex numbers and inspect the result.
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