Question 1
What does the area under a curve usually represent in calculus when the graph is above the $x$-axis on an interval?
Question 2
Which expression gives the definite integral for the area under $f(x)$ from $x=a$ to $x=b$?
Question 3
If $f(x)\ge 0$ on $[a,b]$, what does $\int_a^b f(x)\,dx$ represent?
Question 4
A student estimates area under a curve using rectangles. What is the main idea of this method?
Question 5
What happens to the area calculation if part of the graph is below the $x$-axis?
