Primitive Functions Reference Table

This page presents a comprehensive table of primitive functions, essential for understanding primitives cours PDF and solving exercice primitive terminale corrigé. The table is organized into three columns: the original function f(x), its primitive F(x), and the domain where the function is defined.

The table covers a range of functions, including:

1. Constant function
2. Quadratic function
3. Square root function
4. Exponential function
5. Natural logarithm
6. Reciprocal function
7. Cosine function
8. Sine function

Definition: A primitive function F(x) of a given function f(x) is a function whose derivative is f(x). In other words, F'(x) = f(x).

Highlight: The table includes the constant of integration 'C' in each primitive, emphasizing that there are infinitely many primitives for a given function, differing only by a constant.

Example: For the function f(x) = x², its primitive is F(x) = (1/3)x³ + C, defined over the entire real number line (ℝ).

Vocabulary: The domain of definition (domaine de définition in French) specifies the set of values for which the function is defined. For instance, the square root function is only defined for non-negative real numbers.

This table serves as a valuable fiche de révision primitive for students preparing for exams or working on primitives exercices terminale. It's particularly useful for exercice primitive terminale STI2D and other advanced mathematics courses.

Quote: "The primitive of a function is the reverse process of differentiation and forms the basis for integral calculus."

Understanding these basic primitives is crucial for more complex integration problems and is a fundamental skill tested in sujet bac primitives.