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Calculus Calculators 2026 - Derivatives, Integrals, Laplace

Free calculus calculators for partial derivatives, double and triple integrals, Laplace transforms, and Taylor polynomial expansions. Each result shows the integration or differentiation steps so you can verify your own working.

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Why use these tools

What makes the calculus category useful

This category groups calculators that solve closely related real-world tasks, so you can move from a quick estimate to a more specific planning tool without restarting the process.

Compute partial derivatives with respect to any variable for multivariable functions

Evaluate double and triple integrals over rectangular and general regions

Apply Laplace transforms and inverse transforms with a built-in transform table

Expand functions as Taylor polynomials around a chosen center to a chosen degree

See each integration step, substitution, and rule applied so you can replicate it

University coursework

Check derivative, integral, and series problems from textbooks and lecture notes.

Engineering and physics

Use Laplace transforms for circuit and control system problems and Taylor series for approximations.

Exam revision

Work through solved examples to spot which integration rule or transform applies to each problem type.

Category FAQ

How is a partial derivative different from an ordinary derivative?

A partial derivative measures how a multivariable function changes with respect to one variable while holding the others constant. For f(x, y) = x squared times y, the partial derivative with respect to x is 2xy.

How do I evaluate a double integral?

Integrate the inner variable first while treating the outer variable as constant, then integrate the result over the outer variable. The double integral of xy over x from 0 to 1 and y from 0 to 2 evaluates to 1.

What is the Laplace transform used for?

The Laplace transform converts differential equations in the time domain into algebraic equations in the s-domain, which is much easier to solve. It is widely used in circuit analysis, control systems, and signals.

What is a Taylor polynomial approximation?

A Taylor polynomial approximates a function near a point using its derivatives at that point. For sin(x) around 0, the third-degree Taylor polynomial is x minus x cubed divided by 6, which matches sin(x) closely for small x.

How accurate are step-by-step calculus calculators?

These tools apply standard rules (power, chain, product, quotient, integration by parts, partial fractions). They are accurate for textbook problems but can struggle with non-elementary integrals where no closed form exists.

Accurate and Reliable

All calculations run locally. Derivatives, integrals, and limits solved step by step.

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