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
Systems of Equations
Paste a comma-separated system exactly as Wolfram Alpha shows it — no solve required, though it works too:
Calculus
Derivatives, integrals, limits, sums, and series all evaluate directly, with steps shown for the symbolic ones.
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:
Linear Algebra
Matrices are nested arrays — [[row1], [row2], …].
Complex Numbers
Vector Calculus
Multiple & Vector Integrals
Double and triple integrals, plus the vector-calculus integrals over a parametrized curve or surface — flux, surface flux, and arc length:
Statistics & Probability
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:
Plotting
Good to know
- Trig defaults to degrees, not radians —
sin(90)is1. For calculus or a Wolfram-stylesin(pi/2), add// @radiansto the calc, or write the angle explicitly:sin(pi/2 rad). - Differential equations solve numerically, not symbolically.
ode y' = -y, y(0) = 1, to 1gives youy(1) ≈ 0.368; a symbolicsolve y' = y → eˣisn’t supported yet. - Fourier and Z-transforms cover the common textbook pairs, not a full
symbolic table.
fourier delta(t)andz transform 2^nwork; 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, andsurface fluxall 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
- Solving Equations — goal-seek,
using, roots - Calculus — derivatives, integrals, limits, sums
- Science & Engineering — units, constants, vectors
- Excel Compatibility — familiar spreadsheet formulas
- vs Wolfram Alpha — where Instacalc’s unit handling goes further
- Reference — full function list