The indefinite integral of a function f(x) is the entire family of functions F(x) whose derivative is f(x): \( \frac{dF(x)}{dx}=f(x)\Longleftrightarrow \int f(x) dx=F(x)+C \) . The constant C must be included because the derivative of any constant is zero. This chapter outlines the fundamental properties of integration, such as linearity and the power rule, and provides a comprehensive directory of formulas for algebraic, trigonometric, exponential, and logarithmic functions.