CalcRef · 14 sheets · 365 rows
Printable calculus formula sheets
The same reference, laid out for paper. Each sheet is one typeset page built to print black-on-white with its column headers repeating at the top of every printed page and the breaks falling between sections rather than mid-run — the one thing a formula page in a browser cannot give you the night before an exam.
Where the source states no side condition, no interval or no note, the sheet says so in words — no restriction stated, undefined, none stated. It never leaves a blank or a dash for you to guess at.
18 rows · portrait
All 18 elementary derivatives on one page — powers, exponentials, logarithms, the six trigonometric functions and their inverses — each with the domain restriction that comes with it, typeset and laid out to print.
Open the derivative rules sheet20 rows · portrait
The standard antiderivatives — 20 of them, including the inverse-trig forms with an arbitrary a — with the condition each one carries, printed as a single reference page.
Open the integral table sheet20 rows · portrait
20 identities grouped the way you reach for them — Pythagorean, double angle, half angle, sum and difference, product to sum, and the reciprocal and quotient definitions — with the section breaks falling between groups rather than mid-run.
Open the trig identities sheet9 rows · landscape
A decision sheet for series: all 9 standard tests side by side, with what makes each one conclude convergence, what makes it conclude divergence, and the shape of series it is actually meant for.
Open the convergence tests sheet26 rows · portrait
The two tables worth having in front of you during a series or trig problem, 26 rows on one page: 9 Maclaurin expansions with their intervals of convergence, and all 17 exact unit-circle values from 0° to 360°.
Open the series & unit circle sheet136 rows · portrait
Every formula in the CalcRef library — all 136 of them across 8 topics, from limits to parametric and polar — with their conditions, sectioned by topic so the page breaks fall between topics rather than mid-topic.
Open the complete sheet sheet18 rows · portrait
All 18 Limits & Continuity formulas in CalcRef on one printable page, each with its conditions. Limit definitions, laws, special limits, and continuity theorems.
Open the limits & continuity sheet24 rows · portrait
All 24 Derivatives formulas in CalcRef on one printable page, each with its conditions. Derivative rules for polynomials, trig, exponential, and inverse functions.
Open the derivatives sheet15 rows · portrait
All 15 Applications of Derivatives formulas in CalcRef on one printable page, each with its conditions. Tangent lines, optimization, related rates, and curve sketching.
Open the applications of derivatives sheet19 rows · portrait
All 19 Integrals formulas in CalcRef on one printable page, each with its conditions. Fundamental theorem, antiderivatives, and integral properties.
Open the integrals sheet16 rows · portrait
All 16 Techniques of Integration formulas in CalcRef on one printable page, each with its conditions. Substitution, parts, trig sub, partial fractions, and improper integrals.
Open the techniques of integration sheet14 rows · portrait
All 14 Applications of Integrals formulas in CalcRef on one printable page, each with its conditions. Area, volume, arc length, surface area, and work.
Open the applications of integrals sheet18 rows · portrait
All 18 Sequences & Series formulas in CalcRef on one printable page, each with its conditions. Convergence tests, power series, Taylor and Maclaurin series.
Open the sequences & series sheet12 rows · portrait
All 12 Parametric, Polar & Vectors formulas in CalcRef on one printable page, each with its conditions. Parametric curves, polar coordinates, and vector operations.
Open the parametric, polar & vectors sheetWhat costs and what does not
The mathematics is free. The sheet is not.
Every rule, identity, series and formula statement on these sheets is free to read on its own formula page, on its topic page and in the workspace Reference tab — no account, no paywall, forever. The first 6 rows of every sheet render for everyone, in the real column layout, so you can judge the format before deciding. Premium unlocks the complete print-ready pages and the print button.