Question Detail
Question
If $y = \int f(x)dx + C$, then $\int f(x)dx$ is called the -----.
Correct Answer
Option C is the correct answer.
Detailed Explanation
The expression $\int f(x)dx$ (without limits of integration) represents the family of all antiderivatives of $f(x)$, denoted as $F(x) + C$, where $C$ is the constant of integration. This is the definition of an indefinite integral. A definite integral has limits of integration and evaluates to a numerical value. The integrand is the function $f(x)$ being integrated.
Hint
Consider the difference between integrals with and without limits of integration.