Calculus Formulas - CalcRef

CalcRef is the complete calculus reference and study tool built for students. Whether you are preparing for AP Calculus, college exams, or reviewing 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 provide 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 presents 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 accessible from any screen. A database of mathematical constants provides precise values for pi, e, the golden ratio, and more.

BUILT FOR STUDYING

Bookmark formulas to Favorites 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 toggle scientific notation.

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