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Free online calculus calculators. Fast, accurate, and always free to use.
Use our free derivative calculator to compute f'(x) and f''(x) at any point using numerical differentiation, or generate a table of derivative values across an interval.
Use our free integral calculator to compute definite integrals numerically using Simpson's rule. Supports any function with configurable partitions.
Use our free definite integral calculator to compute ∫ₐᵇ f(x) dx using Simpson's rule, trapezoidal rule, or compare both methods side by side.
Use our free indefinite integral calculator to find symbolic antiderivatives for polynomials and common functions, or evaluate the area function numerically.
Use our free limit calculator to evaluate limits of any function as x approaches a value. Supports two-sided, left-hand, and right-hand limits.
Use our free partial derivative calculator to compute ∂f/∂x, ∂f/∂y, and second-order partials for functions of x and y.
Use our free double integral calculator to compute the double integral of f(x,y) over a rectangular region [a,b]×[c,d] using 2D Simpson's rule.
Use our free triple integral calculator to compute the triple integral of f(x,y,z) over a rectangular box region [a,b]×[c,d]×[e,f] using 3D Simpson's rule.
Use our free gradient calculator to compute the gradient vector ∇f, its magnitude, and directional derivatives for functions of up to three variables.
Use our free Laplace transform calculator to compute F(s) numerically for any function, generate a table of F(s) values, or apply the Initial Value Theorem.
Use our free inverse Laplace transform calculator to compute f(t) numerically from any F(s) using the Gaver-Stehfest algorithm. Supports evaluation, table generation, and the Final Value Theorem.
Use our free Fourier series calculator to compute the Fourier series coefficients (a₀, aₙ, bₙ), evaluate the series at any point, view partial sums, and see the amplitude spectrum for functions defined on [-L, L].
Use our free Taylor series calculator to expand any function as a power series around any center a. View coefficients (f⁽ⁿ⁾(a)/n!), evaluate at a point, and see the term-by-term expansion.
Use our free Maclaurin series calculator to expand any function as a power series centered at 0. View coefficients, evaluate at a point, see the term-by-term expansion, and browse known Maclaurin series.
Addition, subtraction, multiplication, and division calculators.
Simplify, compare, and calculate with fractions.
Decimal conversion, rounding, and arithmetic calculators.
Calculate powers, square roots, and nth roots.
Solve equations, inequalities, and algebraic expressions.
Area, volume, perimeter, and shape calculators.
Sine, cosine, tangent, and trigonometric functions.
Mean, median, mode, standard deviation, and more.
Prime numbers, factorization, factors, multiples, and LCM calculators.
Binary, decimal, and hexadecimal converters and arithmetic.
Arithmetic and geometric sequences and series.
Matrix operations, determinants, and inverses.
Complex number arithmetic and conversions.
Vector operations, eigenvalues, and linear systems.
Round numbers to specified precision and significant figures.
Odd math tools and general-purpose calculators.