Question 1
Which of the following describes the relationship between a definite integral and the area under a curve?
Question 2
What is the primary purpose of using Riemann sums in the context of definite integrals?
Question 3
According to the Fundamental Theorem of Calculus, Part 1, if $F(x) = \int_{a}^{x} f(t) \, dt$, what is $F'(x)$?
Question 4
Evaluate the definite integral: $$\int_{1}^{3} (3x^2 - 2x) \, dx$$
Question 5
If a definite integral represents the total change in a quantity, what does the integrand (the function being integrated) represent?