Question 1
What is the primary application of definite integrals?
Question 2
If $ F(x) $ is an antiderivative of $ f(x) $, then the definite integral $ \int_{a}^{b} f(x) \, dx $ is evaluated as:
Question 3
Evaluate the definite integral: $$ \int_{0}^{1} (3x^2) \, dx $$
Question 4
Which of the following properties of definite integrals is correct?
Question 5
If $ \int_{a}^{b} f(x) \, dx = 0 $, what can be concluded about the function $ f(x) $ or the interval $ [a, b] $?
