5. Calculus

Negative Integrals — Quiz

Test your understanding of negative integrals with 5 practice questions.

Practice Questions

Question 1

What does the definite integral $\int_a^b f(x)\,dx$ represent when the graph of $f$ lies below the $x$-axis on $[a,b]$?

Question 2

If $f(x) \ge 0$ on $[a,b]$, which statement about $\int_a^b f(x)\,dx$ is correct?

Question 3

Evaluate $\int_0^2 (-3)\,dx$.

Question 4

Which integral is the most appropriate way to find the signed area between the graph of $f(x)$ and the $x$-axis from $x=1$ to $x=4$?

Question 5

What is the value of $\int_2^5 4\,dx$?