Limits · Derivatives · Integrals
Calculus Solver
Every calculus answer names the rule it uses and is checked numerically: derivatives against finite differences, antiderivatives by differentiating back, definite integrals against adaptive numerical integration.
- Every answer independently verified
- Results in milliseconds
- AI explanations at your level
What the calculus solver can do
Derivatives
d/dx [x² sin x]
Power, product, quotient and chain rules.
Higher-order & partial
∂/∂y [x² y]
Second derivatives and partial derivatives.
Implicit differentiation
x² + y² = 25
dy/dx from relations in x and y.
Indefinite integrals
∫ x eˣ dx
Substitution, parts and partial fractions.
Definite & improper
∫₀^∞ e^(−x) dx
Fundamental theorem plus numerical check.
Limits
lim (1 + 1/x)^x
Direct substitution, factoring, L'Hôpital.
Accuracy by design
A math engine first. AI second.
Chatbots guess. We compute, verify, and then explain — so every explanation is about a correct answer.
- 01
Understand
Your input — text, LaTeX, keyboard or photo — is normalized and classified into one of 20+ problem types.
- 02
Compute
A symbolic math engine solves it exactly: algebra, calculus, matrices, statistics.
- 03
Verify
Independent checks confirm the answer: substitution, numerical differentiation & integration, round-trips.
- 04
Explain
AI explains each verified step at your level — and can never change the answer.
Rules, not magic
The derivative solver tells you which rule applies at each stage — sum rule, product rule, chain rule — and shows the intermediate derivatives. The integral solver identifies the technique (u-substitution, integration by parts with LIATE, partial fractions).
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Frequently asked questions
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