6. Integration and Accumulation of Change

The Fundamental Theorem Of Calculus And Definite Integrals — Quiz

Test your understanding of the fundamental theorem of calculus and definite integrals with 5 practice questions.

Practice Questions

Question 1

Which statement best describes the meaning of a definite integral of a rate function over an interval?

Question 2

If $F$ is an antiderivative of $f$, which expression equals $\int_a^b f(x)\,dx$?

Question 3

What is the derivative of $G(x)=\int_2^x (t^2+1)\,dt$?

Question 4

Which integral represents the area under $f(x)$ from $x=1$ to $x=4$ when $f(x)\ge 0$ on that interval?

Question 5

Evaluate $\int_0^3 2\,dx$.