No account to begin
Open the solver, choose a mode and calculate a supported problem before sharing personal account details.
Solve supported derivatives, integrals and limits in your browser without creating an account. Core calculations include readable steps, named rules and clear verification status.
Live solution theater
Follow the glow. Each move has a reason.
2x + 3
Result preview
x^2 + 3x + C
Built around your question
The free calculus solver with steps is available for core calculations without sign-up. You can enter a problem, change calculation modes and inspect the supported result before deciding whether an account or a paid allowance is useful to you.
Free access does not mean the page hides the method. The deterministic engine still exposes named rules and intermediate expressions. The same mathematical result is used whether or not optional account features are enabled.
Usage limits protect the service from automated abuse and may change as the product develops. The pricing page states the current allowance. Optional Pro credits extend usage; they do not buy a different answer to the same supported problem.
Open the solver, choose a mode and calculate a supported problem before sharing personal account details.
Core results retain their ordered rule path instead of placing all explanation behind a subscription.
Free and paid usage rely on the same deterministic calculation engine and verification boundaries.
Paid plans increase available calculation credits and account controls; they do not silently change the mathematics.
A visible calculation path
No registration is required for the core workflow. Choose the problem type, enter the expression, review the rule path and check whether the result received a Verified label.
Select derivative, integral or limit so the workspace can show the controls that matter for that problem.
Use ^ for powers and parentheses for functions such as sin(x), log(x) and exp(x). The parser rejects unrecognized input instead of guessing.
The solver keeps intermediate expressions visible and identifies the rule responsible for each supported transformation.
When an independent deterministic check is available, the answer receives a Verified label. Unsupported work is marked clearly.
Problems you can try
Use short examples to confirm the notation, then replace them with your own problem. The same input area switches between derivative, integral and limit controls.
d/dx [x^5 + 3x^2 − 7]
A polynomial is a practical first test because each term exposes the power and sum rules clearly.
∫ cos(x) dx
A standard antiderivative shows how the solver presents the function match and the required + C.
lim x→0 sin(x)/x
This common limit demonstrates a supported special form and the difference between direct substitution and a known limit rule.
CalculusMate does not promise to solve every symbolic expression. Complicated identities, unusual notation or methods outside the current deterministic rule set may be marked unsupported. This boundary prevents an attractive explanation from being mistaken for a checked answer.
FAQ
Core calculations can be tried without payment or account creation. Current daily allowances and optional paid credit packs are listed on the pricing page.
Yes. Supported core results include ordered transformations and named rules, not only the final expression.
No. Signing in adds account features and access to purchased credits. It does not replace the deterministic math engine.
Use ^ for powers, * when multiplication is ambiguous, and parentheses for function arguments such as sin(x) or log(x).
Ready when you are
The free calculus solver with steps is designed for a quick, transparent first result. Start with an example, inspect the method and continue with your own expression.