Integral table sheet

20 rows · CalcRef · sample of the first 6 rows

Standard integrals
Integral	Antiderivative	Condition
$\int x^n \, dx$	$\frac{x^{n+1}}{n+1} + C$	n ≠ -1
$\int \frac{1}{x} \, dx$	$\ln\|x\| + C$	no restriction stated
$\int e^x \, dx$	$e^x + C$	no restriction stated
$\int a^x \, dx$	$\frac{a^x}{\ln a} + C$	a > 0, a ≠ 1
$\int \sin x \, dx$	$-\cos x + C$	no restriction stated
$\int \cos x \, dx$	$\sin x + C$	no restriction stated

The 20 rows of the CalcRef integral reference table. Every antiderivative is stated up to the constant of integration.

CalcRef is an educational reference. Check every statement on this sheet against your own course notes, textbook or exam formula policy before relying on it in graded work. Antiderivatives are valid only on an interval where the integrand is continuous.

Every formula on this sheet is also free on its own page — browse the full reference. Premium pays for the sheet, not the mathematics.