What’s on the Standard Integrals poster
A 7-row table: Integrand · Integral.
Every one is a derivative read backwards. Add C.
- xⁿ, n ≠ −1 — xⁿ⁺¹/(n + 1) + C
- 1/x — ln|x| + C
- e^(kx) — e^(kx)/k + C
- sin x — −cos x + C
- sec² x — tan x + C
- 1/(1 + x²) — arctan x + C
- 1/√(1 − x²) — arcsin x + C
ln|x|, not ln x: the antiderivative of 1/x has to work on both sides of the origin. Dropping the modulus loses half the domain.
Questions about the Standard Integrals poster
- What’s on the Standard Integrals poster?
- A 7-row table: Integrand · Integral. Every one is a derivative read backwards. Add C. xⁿ, n ≠ −1 — xⁿ⁺¹/(n + 1) + C; 1/x — ln|x| + C; e^(kx) — e^(kx)/k + C; sin x — −cos x + C; sec² x — tan x + C; 1/(1 + x²) — arctan x + C; 1/√(1 − x²) — arcsin x + C. ln|x|, not ln x: the antiderivative of 1/x has to work on both sides of the origin. Dropping the modulus loses half the domain.
- Who is the Standard Integrals poster for?
- Standard Integrals belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning calculus can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Standard Integrals poster?
- Recognise the shape first; only reach for a technique when none of these fits. A wall chart earns its place by being glanceable from where the work is happening, so Standard Integrals belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Standard Integrals?
- The Chain Rule, Derivative Rules and Fundamental Theorem sit alongside Standard Integrals in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Chain RuleDerivative RulesFundamental Theorem
- Is the Standard Integrals poster free to download and print?
- Yes. Standard Integrals downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Standard Integrals poster print at?
- Standard Integrals is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Standard Integrals loses nothing.Printing guide
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