| $\int x^n\quad dx \quad (n \ne -1)$ |
$\frac{x^{n+1}}{n+1} + c$ |
| $\int \frac{1}{x}\quad dx$ |
$\ln(x) + c$ |
| $\int e^x\quad dx$ |
$e^x + c$ |
| $\int \sin(x)\quad dx$ |
$-\cos(x) + c$ |
| $\int \cos(x)\quad dx$ |
$\sin(x) + c$ |
| $\int a^x\quad dx$ |
$\frac{a^x}{\ln(a)} + c$ |
| $\int \ln(x)\quad dx$ |
$x(\ln(x) - 1) + c$ |
| $\int \frac{1}{\cos^2(x)}\quad dx$ |
$\tan(x) + c$ |
| $\int \frac{1}{\sin^2(x)}\quad dx$ |
$-\cot(x) + c$ |
| $\int \frac{1}{\sqrt{1 - x^2}}\quad dx$ |
$\left\lbrace \begin{array}{l} \arcsin(x) + c \\ -\arccos(x) + c \end{array}\right.$ |
| $\int \frac{1}{1 + x^2}\quad dx$ |
$\left\lbrace \begin{array}{l} \arctan(x) + c \\ -\mathrm{arccot}(x) + c \end{array}\right.$ |
