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, without specified limits of integration, represents the family of all antiderivatives of f(x). It is commonly referred to as the indefinite integral. The '+ C' denotes the constant of integration, which accounts for the fact that the derivative of a constant is zero.A definite integral has upper and lower limits of integration and evaluates to a numerical value. An integrand is the function being integrated (f(x) in this case). 'Finite integral' is not a standard term in calculus.
Hint
Consider the difference between integrals with and without limits of integration.