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MTH 102 MTH 102 Past Questions Objective Question

Question

If y = ∫f(x)dx + C, then ∫f(x)dx is called the ----
Options
A Definite integral
B finite integral
C indefinite integral
Correct Answer
D integrand
Correct Answer

Option C is the correct answer.

Detailed Explanation

The expression ∫f(x)dx, without limits of integration, represents the family of all antiderivatives of f(x) and is known as the indefinite integral. The '+ C' denotes the constant of integration, representing the entire family of functions whose derivative is f(x). A definite integral has upper and lower limits of integration, and its result is a numerical value. The integrand is the function being integrated, f(x).

Hint

Distinguish between integrals with and without specified limits of integration.

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