Essential Integration Formulas

Practice flashcards covering essential standard integration formulas and rules.

$\int x^n\,dx$ ($n \neq -1$)

$$\frac{x^{n+1}}{n+1} + C$$

$$\int \frac{1}{x}\,dx$$

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

$$\int e^{kx}\,dx$$

$$\frac{e^{kx}}{k} + C$$

$$\int \sin(kx)\,dx$$

$$-\frac{\cos(kx)}{k} + C$$

$$\int \cos(kx)\,dx$$

$$\frac{\sin(kx)}{k} + C$$

$$\int \tan(kx)\,dx$$

$$\frac{\ln(|\sec(kx)|)}{k} + C$$

$$\int \sec(kx)\tan(kx)\,dx$$

$$\frac{\sec(kx)}{k} + C$$

$$\int \sec^2(kx)\,dx$$

$$\frac{\tan(kx)}{k} + C$$

$$\int \frac{1}{a^2 + x^2}\,dx$$

$$\frac{1}{a}\tan^{-1}\left(\frac{x}{a}\right) + C$$