12. Riemann Integration II

Fundamental Theorem Of Calculus — Quiz

Test your understanding of fundamental theorem of calculus with 5 practice questions.

Practice Questions

Question 1

Which statement is the First Fundamental Theorem of Calculus?

Question 2

Assume $f$ is continuous. What is $\frac{d}{dx}\int_2^x (t^2+1)\,dt$?

Question 3

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

Question 4

Suppose $F'(x)=f(x)$ for all $x$, $F(1)=2$, and $F(4)=10$. What is $\int_1^4 f(x)\,dx$?

Question 5

Let $G(x)=\int_5^x f(t)\,dt$, where $f$ is continuous. What is $G(5)$?