5. Calculus

Definite Integrals — Quiz

Test your understanding of definite integrals with 5 practice questions.

Practice Questions

Question 1

What is a definite integral used to find in a context such as distance, area, or total accumulation?

Question 2

Which notation represents the area under $f(x)$ from $x=a$ to $x=b$?

Question 3

If $f(x)\ge 0$ on the interval $[a,b]$, what does $\int_a^b f(x)\,dx$ represent geometrically?

Question 4

What is the value of $\int_a^a f(x)\,dx$ for any integrable function $f(x)$?

Question 5

Which statement is true about a definite integral if the function is below the $x$-axis on part of the interval?