Mathematics

Percentages, equations, geometry, statistics and more.

Binomial probability calculator

The probability of exactly k successes in n independent trials, each with the same success probability.

Circle calculator

Diameter, circumference and area of a circle from its radius.

Combinations and permutations calculator

How many ways to arrange or choose r items from n, with and without order mattering.

Conditional probability calculator

P(A given B) and P(B given A) from P(A), P(B) and P(A and B), with an independence check.

Coordinate geometry calculator

Distance, midpoint and slope between two points on a coordinate plane.

Definite integral calculator

The area under a curve between two x-values, both exactly and by Simpson's numerical rule.

Derivative calculator

The exact derivative f′(x) at a point, checked against a numerical estimate.

Expression grapher

Type any function of x and see it graphed, evaluated and typeset.

Fraction calculator

Add, subtract, multiply and divide two fractions, with simplified results.

Function evaluator and grapher

Evaluate a function at a point, see its domain and range, and view its graph.

Linear inequality solver

Solve ax + b compared to c (<, ≤, > or ≥) for x.

Inverse trigonometric functions calculator

Find the angle whose sine, cosine or tangent is a given value.

Limit calculator

Estimate lim(x→a) f(x) by approaching a from both sides.

Linear equation solver

Solve ax + b = c for x.

Normal distribution calculator

The z-score of a value and the share of a normal distribution below and above it.

Percentage calculator

Find a percentage of a number, and increase or decrease a number by a percentage.

2D shape area and perimeter calculator

Area and perimeter of a rectangle, triangle or trapezoid.

Ratio and proportion solver

Solve a ÷ b = c ÷ x for the missing value.

Pythagorean theorem calculator

Find a missing side of a right-angled triangle, plus its area and perimeter.

Quadratic equation solver

Solve ax² + bx + c = 0 and see the discriminant and the roots, including complex roots.

Simultaneous equations solver

Solve two linear equations with two unknowns, x and y, using Cramer's rule.

3D solid volume and surface area calculator

Volume and surface area of a sphere, cylinder or cone.

Statistics calculator

Mean, median, mode, range, variance, standard deviation and quartiles for up to 8 numbers.

Triangle solver

Find every side, angle, perimeter and area of a triangle from three sides, or two sides and the angle between them.

Sine, cosine and tangent calculator

sin, cos and tan of an angle in degrees, with the angle in radians.