Wolfram Alpha Compatibility

Wolfram Alpha syntax that works in Instacalc — solve, calculus, linear algebra, complex numbers, and more.

If you know how to ask Wolfram Alpha a math question, you already know how to ask Instacalc — paste it in and it mostly just works. Every example below is a live, editable calc: try changing the numbers.

Algebra & Equations

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Systems of Equations

Paste a comma-separated system exactly as Wolfram Alpha shows it — no solve required, though it works too:

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Calculus

Derivatives, integrals, limits, sums, and series all evaluate directly, with steps shown for the symbolic ones.

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Integral Transforms

Laplace transforms (and their inverse) cover polynomials, exponentials, trig, and products via the shift theorem — plus convolution, Z-transforms, and Fourier transforms for the common pairs:

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Linear Algebra

Matrices are nested arrays — [[row1], [row2], …].

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Complex Numbers

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Vector Calculus

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Multiple & Vector Integrals

Double and triple integrals, plus the vector-calculus integrals over a parametrized curve or surface — flux, surface flux, and arc length:

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Statistics & Probability

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Lists, Matrices & Mathematica Syntax

Instacalc’s native list syntax is square brackets ([1,2,3]), but curly braces work too — so a list or matrix copied straight out of Wolfram Alpha or Mathematica evaluates as-is. Bracket-style function calls (Sin[90]) work the same as parens:

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Plotting

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Good to know

  • Trig defaults to degrees, not radians — sin(90) is 1. For calculus or a Wolfram-style sin(pi/2), add // @radians to the calc, or write the angle explicitly: sin(pi/2 rad).
  • Differential equations solve numerically, not symbolically. ode y' = -y, y(0) = 1, to 1 gives you y(1) ≈ 0.368; a symbolic solve y' = y → eˣ isn’t supported yet.
  • Fourier and Z-transforms cover the common textbook pairs, not a full symbolic table. fourier delta(t) and z transform 2^n work; the Gaussian (fourier e^(-t^2)) and a fully symbolic base (z transform a^n) don’t yet — Laplace transforms have much broader coverage.
  • A line integral needs a constant field (or none) for now. arclength, flux, and surface flux all work as shown above; weighting a line integral by a real function of the curve’s parameter isn’t supported yet.
  • Instacalc is a calculator, not a knowledge engine. Physical constants resolve (speed of light), but world-knowledge lookups (population of a country, a stock’s history) don’t — that’s a different kind of tool.

See also