Integral Formulas

Vocabulary flashcards covering basic indefinite integral formulas and inverse trigonometric notation.

Integral of $x^n$

$$\frac{x^{n+1}}{n+1}+C\quad(n\neq-1)$$

Integral of $\frac{1}{x}$

$$\ln(|x|)+C$$

Integral of $e^x$

$$e^{x}+C$$

Integral of $\sin(x)$

$$-\cos(x)+C$$

Integral of $\cos(x)$

$$\sin(x)+C$$

Integral of $\sec^2(x)$

$$\tan(x)+C$$

Integral of $\frac{1}{x^2+1}$

$$\arctan(x)+C$$

Integral of $\frac{1}{\sqrt{1-x^2}}$

$$\sin^{-1}(x)+C$$

Inverse Trigonometric Function Notation

Inverse trigonometric functions are written as $\sin^{-1}(x)$, $\cos^{-1}(x)$, $\tan^{-1}(x)$ or as $\arcsin(x)$, $\arccos(x)$, $\arctan(x)$.