Calculus Formulas - CalcRef

CalcRef is the complete calculus reference and study tool built for students. Whether you’re preparing for AP Calculus, college exams, or revising core concepts, CalcRef puts every formula, table, and practice tool you need in one offline app.

FORMULAS

Browse over 100 calculus formulas across 8 topics: Limits and Continuity, Derivatives, Applications of Derivatives, Integrals, Techniques of Integration, Applications of Integrals, Sequences and Series, and Parametric, Polar, and Vectors. Every formula includes LaTeX-rendered notation, a plain-language description, conditions for use, and variable definitions. Computational formulas include a built-in calculator with step-by-step solutions.

REFERENCE TABLES

Six tables give instant access to the essentials:

• Derivative Rules (power, trig, exponential, logarithmic, inverse trig)
• Integral Formulas (standard antiderivatives with conditions)
• Trigonometric Identities (Pythagorean, double angle, half angle, sum/difference)
• Convergence Tests (ratio, root, integral, comparison, alternating series)
• Maclaurin Series (common expansions with convergence intervals)
• Unit Circle (sin, cos, tan at standard angles in degrees and radians)

PRACTICE

Test your knowledge with flashcard-style quizzes. Each round shows 10 cards from a chosen topic or a mix of all topics. Flip to reveal each formula, mark it correct or missed, and review your score. Track your progress over time with per-topic stats and quiz history.

TOOLS

A unit converter covering 16 categories (length, area, volume, mass, force, pressure, temperature, energy, power, velocity, acceleration, density, viscosity, torque, flow rate, and angle) is available from any screen. A database of mathematical constants provides precise values for pi, e, the golden ratio, and more.

BUILT FOR STUDYING

Bookmark formulas in Favourites for quick access. Search finds any formula or constant as you type. Calculation history logs every result. Create and save your own custom formulas. Choose dark or light theme, set decimal precision, and switch scientific notation.

100% OFFLINE

All content is bundled in the app. No internet required, no accounts to create, no data uploaded. Your information stays on your device.

CALCREF PRO

A free tier includes 20 formulas, one reference table, and one daily practice quiz. CalcRef Pro unlocks everything: all formulas, all reference tables, unlimited practice, custom formula creation, constants, and data export.

• CalcRef Pro Weekly: $2.99 per week
• CalcRef Pro Yearly: $19.99 per year
• CalcRef Pro Lifetime: $49.99 one-time purchase

Payment will be charged to your Apple ID account on confirmation of purchase. Subscriptions automatically renew unless cancelled at least 24 hours before the end of the current period. Your account will be charged for renewal within 24 hours prior to the end of the current period at the cost of the chosen plan. You can manage and cancel subscriptions in your Account Settings on the App Store after purchase.

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