All Calculus Calculators
Every free CalculusCalc calculator in one place: derivatives, integrals, limits, series, multivariable calculus, physics applications, graphing and scientific calculators, all with steps.
- Free
- No sign-up
- Works on phones
- Shows the working
By Yasir Hafeez · Updated
Pick a calculator below. Every tool runs instantly in your browser, shows its working, and is free with no sign-up. Each one has its own page with a how-to guide, the formula it uses, a worked example and answers to common questions.
Basic & Scientific
Differential
Absolute Extrema Calculator (Closed Interval Method)Free absolute extrema calculator. Finds the absolute maximum and minimum of f(x) on [a, b] with a table…Average Rate of Change CalculatorFree average rate of change calculator. Enter f(x) and an interval [a, b] to get (f(b) − f(a))/(b…Critical Points CalculatorFree critical points calculator. Solves f'(x) = 0, labels each point a local max, min or neither, and…Derivative CalculatorFree derivative calculator with steps. Type any function and get f'(x) simplified, with the power, product, quotient and…Difference Quotient Calculator (Simplified, with Steps)Free difference quotient calculator. Finds f(x + h), expands and simplifies (f(x+h) − f(x))/h for polynomials, and takes…Implicit Differentiation Calculator (dy/dx with Steps)Free implicit differentiation calculator. Enter an equation in x and y to get dy/dx, then the slope and…Increasing and Decreasing Intervals CalculatorFree calculator for where a function is increasing or decreasing and concave up or down, with f'(x), f''(x),…Inflection Point CalculatorFree inflection point calculator. Enter f(x) and an interval to get f''(x), every inflection point, and where the…Instantaneous Rate of Change CalculatorFree instantaneous rate of change calculator. Get f'(x), its value at a point, the tangent line and a…Linear Approximation CalculatorFree linear approximation calculator. Enter f(x), a center a and a nearby x to get the linearization L(x),…Mean Value Theorem CalculatorFree mean value theorem calculator. Enter f(x) and an interval [a, b] to get the secant slope and…Newton's Method CalculatorFree Newton's method calculator. Enter f(x), a starting guess and the number of steps to see every iterate…Second Derivative CalculatorFree second derivative calculator. Enter f(x) to get exact f'(x) and f''(x), simplified, plus both values at any…Tangent Line CalculatorFree tangent line calculator. Enter f(x) and a point to get the slope f'(a) and the equations of…
Integral
Arc Length CalculatorFree arc length calculator. Enter y = f(x) and an interval to get f'(x), the arc length integral…Area Between Curves CalculatorFree area between curves calculator. Enter f(x), g(x) and an interval to get the enclosed area, with crossing…Average Value CalculatorFree average value of a function calculator. Enter f(x) and [a, b] to get the integral, the average…Definite Integral CalculatorFree definite integral calculator. Enter f(x) and limits (inf allowed) to get the exact or decimal value and…Disk Method CalculatorFree disk method calculator. Enter f(x) and limits to get the volume of the solid formed by rotating…Integral CalculatorFree integral calculator with steps. Enter a function and get its antiderivative + C, the rule used (substitution,…Riemann Sum CalculatorFree Riemann sum calculator. Pick left, right, midpoint, trapezoid or Simpson's rule, set n, and see the approximation…Shell Method CalculatorFree shell method calculator. Enter f(x) and limits to get the volume of the solid made by rotating…Simpson's Rule Calculator (with Table and Error)Free Simpson's rule calculator. Approximates a definite integral with parabolas, showing each x-value, f(x), the 1-4-2-4-1 weights and…Surface Area of Revolution CalculatorFree surface area of revolution calculator. Rotate y = f(x) about the x-axis or y-axis and get S…Trapezoidal Rule Calculator (with Table and Error)Free trapezoidal rule calculator. Approximates a definite integral with n trapezoids, showing every x-value, f(x), weight and the…
Series & Limits
L'Hôpital's Rule CalculatorFree L'Hôpital's rule calculator. Enter a numerator and denominator and it differentiates both, step by step, until a…Limit CalculatorFree limit calculator with steps. Enter f(x) and the point x approaches, including infinity or one side, and…One-Sided Limit CalculatorFree one-sided limit calculator. Find left-hand and right-hand limits of f(x) at a point, or as x goes…Arithmetic and Geometric Sequence CalculatorFree arithmetic and geometric sequence calculator. Get the nth term formula, the value of aₙ, the sum of…Series Convergence CalculatorFree series convergence calculator. Enter aₙ to get partial sums, a numerical ratio test and the nth-term test,…Taylor Series CalculatorFree Taylor series calculator. Get the degree-n Taylor or Maclaurin polynomial of f(x) at any center, then test…
Multivariable
Double Integral CalculatorFree double integral calculator. Enter f(x, y) and the limits of a rectangle to get the value of…Gradient CalculatorFree gradient calculator and directional derivative calculator. Enter f(x, y), a point and a direction to get ∇f,…Partial Derivative CalculatorFree partial derivative calculator. Enter f(x, y) and a point to get fx and fy with their values,…
Physics & Applied
Euler's Method CalculatorFree Euler's method calculator for y' = F(x, y). Enter a step size and endpoint to get the…Exponential Growth CalculatorFree exponential growth calculator for P(t) = P₀e^(kt). Get the value at any time plus the doubling time,…Half-Life Calculator (Decay: Amount, Time or Half-Life)Free half-life calculator. Find the amount remaining, the time elapsed, the half-life or the starting amount, plus the…Kinematic Equations Calculator (SUVAT)Free kinematic equations calculator. Enter any three of s, u, v, a and t to solve for the…Velocity and Acceleration CalculatorFree velocity and acceleration calculator: enter a position function s(t) and a time to get v(t), a(t), their…Projectile Motion CalculatorFree projectile motion calculator. Enter launch speed, angle and height to get time of flight, range, maximum height…Work Calculator (Variable Force)Free work calculator for a variable force. Enter F(x) and the limits to get W = ∫F dx…
Algebra & Trig
Completing the Square Calculator (Step by Step)Free completing the square calculator. Rewrites ax² + bx + c as a(x − h)² + k with…Distance and Midpoint CalculatorFree distance and midpoint calculator. Enter two points to get the exact distance (simplified square roots), the midpoint…Inverse Trig Calculator (Arcsin, Arccos, Arctan)Free inverse trig calculator for arcsin, arccos and arctan. Get the principal angle in radians (exact when possible)…Logarithm Calculator (Log Base Any Number)Free logarithm calculator for any base, including log base 10, log base 2 and ln. Get the exact…Matrix CalculatorFree matrix calculator for multiplication, determinant, inverse, transpose, addition and subtraction, up to 6 × 6, with exact…Polar to Rectangular Calculator (and Back)Free polar to rectangular calculator. Convert (r, θ) to (x, y) or (x, y) to (r, θ) in…Polynomial Long Division Calculator (with Steps)Free polynomial long division calculator. Divide any polynomial by another and see each step, the quotient, the remainder…Polynomial Roots CalculatorFree polynomial roots calculator. Find the real zeros of any polynomial, plus its degree, y-intercept, turning points and…Quadratic Formula CalculatorFree quadratic formula calculator. Enter a, b and c to get the discriminant, exact and complex roots, the…Scientific Notation Calculator (Convert and Calculate)Free scientific notation calculator. Convert numbers to scientific, E and engineering notation, and add, subtract, multiply or divide…Slope CalculatorFree slope calculator. Enter two points to get the slope as an exact fraction and the line in…Square Root Calculator (Simplest Radical Form)Free square root calculator. Simplify √x or any nth root to simplest radical form, like √72 = 6√2,…Triangle Calculator (Law of Sines and Cosines)Free triangle calculator. Enter any three sides or angles to solve the triangle with the law of sines…Trig Calculator (Sin, Cos, Tan)Free trig calculator. Enter an angle in degrees or radians to get exact sin, cos, tan, csc, sec…
Vectors & Matrices
Cross Product Calculator (Determinant Method, Steps)Free cross product calculator for 3D vectors. Shows the i, j, k determinant steps, the result u ×…Dot Product Calculator (with Angle Between Vectors)Free dot product calculator for 2D, 3D or longer vectors. Get u · v, the lengths, the angle…Eigenvalue and Eigenvector Calculator (2×2 and 3×3)Free eigenvalue calculator for 2×2 and 3×3 matrices. Shows the characteristic equation, real or complex eigenvalues and an…System of Equations Calculator (2 or 3 Variables)Free system of equations calculator. Solves 2 or 3 linear equations with Cramer's rule, shows each determinant and…Unit Vector Calculator (and Vector Magnitude)Free unit vector calculator. Finds the magnitude |v| in simplest radical form and the unit vector v/|v| exactly,…
Geometry & Statistics
Area CalculatorFree area calculator for squares, rectangles, triangles, parallelograms, trapezoids, rhombuses, circles and ellipses, with the formula and working…Binomial Distribution Calculator (Probability Table)Free binomial distribution calculator. Get P(X = k), P(X ≤ k), P(X ≥ k) and more, with the…Circle Calculator (Area, Circumference, Radius)Free circle calculator. Enter the radius, diameter, circumference or area to get the other three, exactly in terms…Permutation and Combination Calculator (nPr and nCr)Free permutation and combination calculator. Get nPr and nCr exactly, even for large numbers, plus permutations and combinations…Pythagorean Theorem CalculatorFree Pythagorean theorem calculator. Enter two sides of a right triangle to find the third, in exact radical…Standard Deviation Calculator (Mean, Median, Mode)Free standard deviation calculator. Paste a list of numbers to get the mean, median, mode, range, and the…Volume and Surface Area CalculatorFree volume calculator for cubes, boxes, cylinders, cones, spheres, hemispheres and pyramids. Get the volume and surface area,…Z-Score Calculator (with Normal Probability)Free z-score calculator. Enter a value, mean and standard deviation to get the z-score, normal probabilities left and…
Everyday Math
Compound Interest CalculatorFree compound interest calculator: enter principal, rate, compounding and years to get the final amount, interest, effective rate…Fraction CalculatorFree fraction calculator. Add, subtract, multiply or divide fractions and mixed numbers, with steps, the simplified answer and…GCF and LCM Calculator (Greatest Common Factor and LCM)Free GCF and LCM calculator. Finds the greatest common factor and least common multiple of 2 to 10…Percentage CalculatorFree percentage calculator: find X% of Y, what percent X is of Y, percent increase or decrease, percent…Prime Factorization Calculator (with Factor Steps)Free prime factorization calculator. Writes any whole number as a product of primes with exponents, shows the division…Significant Figures Calculator (Count and Round)Free significant figures calculator. Count sig figs, see exactly which digits count and why, and round any number…
Graphing & Study Tools
Calculus Formula SheetAll the core calculus formulas on one searchable sheet: derivatives, integrals, limits, series, theorems and applications, each with…Calculus Practice ProblemsFree calculus practice problems with answers: an interactive quiz on derivatives, integrals, limits and series, plus 8 fully…Graphing Calculator for CalculusFree graphing calculator online for calculus. Plot any f(x) with its derivative, slide a tangent line, and shade…