Question Detail
Question
If y = ∫ f(x)dx + C, then f(x)dx is called the -----
Correct Answer
Option D is the correct answer.
Detailed Explanation
In the expression ∫ f(x)dx, the function f(x) that is being integrated is called the integrand. The 'dx' indicates the variable of integration (differential of x).- A definite integral has specific upper and lower limits of integration, resulting in a numerical value.- A finite integral is not a standard mathematical term in this context.- An indefinite integral refers to the entire expression ∫ f(x)dx, which represents the family of all antiderivatives of f(x).While the term 'f(x)dx' as a whole is sometimes referred to as the 'element of integration', among the given choices, 'integrand' (referring to f(x)) is the most fitting description for the core part of the expression being integrated.
Hint
Consider the specific roles of each part of the integral notation ∫ f(x)dx. What is the name for the function inside the integral sign?