Question 1
What does the definite integral $ \int_{a}^{b} f(x) \, dx $ represent when $ f(x) $ is non-negative?
Question 2
If a function is continuous on $ [a, b] $, what can be said about its definite integral?
Question 3
Which of the following is a correct interpretation of the definite integral $ \int_{0}^{3} (4x - 2) \, dx $?
Question 4
What is the result of the Riemann sum $ R_n = \sum_{i=1}^{n} f(x_i^*) \Delta x $ as $ n $ approaches infinity?
Question 5
Which of the following describes the accumulation function $ A(t) $ defined as $ A(t) = \int_{0}^{t} f(x) \, dx $?