ZetaCAS: Math Solver & Steps

Type maths the way you would say it and get the exact answer, the steps that lead to it, a graph and a check. ZetaCAS is a full computer algebra system that runs entirely on your device: no account, no ads, no internet needed, and nothing you type ever leaves your phone, tablet or Mac. WRITE IT YOUR WAY • Plain words or notation: "integrate x^2 sin(x) dx", "∫ e^(-x^2) dx from 0 to oo", "lim (1+1/n)^n as n->oo", "d/dx x^x". • Typos are fine: "derivarive" and "intgeral" land on the right operation. • Also understands many questions in Spanish, such as "derivar x^2+3x+2". • Type a bare function like x^2+3x+2 and get everything at once: graph, domain, range, roots, extrema, asymptotes, derivative and integral. EXACT ANSWERS, WITH THE WORKING • Step by step: integration by parts and substitution, the chain rule, series expansions for limits, the quadratic formula. • Answers are checked: an integral is differentiated back to the integrand. • Exact first: √π/2, π²/6, (5 ± √5)/2. Then the decimal, with as many digits as you ask for. • Honest numbers: an estimate says it is one (0.39095 ± 7e-05), and a long computation shows only the digits that are really correct. WHAT IT CAN DO • Calculus: derivatives of every kind, definite, indefinite and improper integrals, limits, Taylor and Laurent series, Riemann sums, arc length, area between curves, tangent lines, optimisation. • Equations: polynomials of any degree with every real and complex root, systems, inequalities, recurrences, differential equations, Lambert W and many special functions.... • Algebra: factor, expand, simplify, partial fractions, complete the square, polynomial division. • Matrices and vectors: determinant, inverse, eigenvalues and eigenvectors, row reduction, LU and QR, matrix exponential, Jacobian, Hessian, gradient, divergence and curl. • Transforms: Laplace, Fourier series and transform, z-transform, Hilbert transform, convolution. • Probability and statistics: eleven distributions, quantiles, p-values, regression, histograms and box plots. • Number theory: primes, divisors, gcd, modular arithmetic and congruences, totient, number bases, continued fractions, gamma and zeta functions. • Discrete maths and logic: counting, sets, truth tables, CNF. • Complex numbers: the Argand plane, polar form, domain colouring, every root of a polynomial drawn on the complex plane. • Geometry and trigonometry: polygons, triangles, distance and slope, degrees or radians. GRAPHS YOU CAN EXPLORE • Functions, implicit curves, polar and parametric curves, surfaces and slope fields. • Zoom, pan and hover to read exact points; roots, turning points and holes are marked. MADE FOR STUDYING • Every result can be copied as LaTeX. • Your history stays on the device. • Light and dark themes that follow your system.