Integral Table Cheat Sheet

By Dr. Iris Vaughan, Mathematics Editor·Published 1 October 2025·Last reviewed 1 April 2026

Standard antiderivatives for polynomials, trig functions, exponentials, and the key u-substitution forms, with conditions and +C reminders.

Key Formulas

∫xⁿ dx = xⁿ⁺¹/(n+1)+C (n≠−1)
∫sin x dx = −cos x+C
∫cos x dx = sin x+C
∫eˣ dx = eˣ+C
∫1/x dx = ln|x|+C
∫sec²x dx = tan x+C

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