4. Integrals

Fundamental Theorem — Quiz

Test your understanding of fundamental theorem with 5 practice questions.

Practice Questions

Question 1

What is the relationship between the derivative and the integral according to the Fundamental Theorem of Calculus?

Question 2

If $F(x) = \int_{0}^{x^2} (3t^2) dt$, what is $F'(x)$?

Question 3

Evaluate the definite integral $\int_{1}^{3} (2x + 1) dx$ using the Fundamental Theorem of Calculus.

Question 4

Which of the following is true regarding the Fundamental Theorem of Calculus Part 2?

Question 5

If $G(x) = \int_{2}^{x} (4t^3) dt$, what is $G'(x)$?