Question Detail
Question
If y = ∫ f(x)dx + C, then ∫ f(x)dx is called the -----.
Correct Answer
Option C is the correct answer.
Detailed Explanation
The expression ∫ f(x)dx represents the family of all antiderivatives of f(x). The '+ C' denotes the constant of integration, indicating that there are infinitely many such antiderivatives, differing by a constant. This form is known as an indefinite integral. A definite integral has limits of integration (e.g., from a to b) and evaluates to a numerical value.
Hint
Consider the meaning of the '+ C' in integration and what it signifies about the result of the integration process.