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

If $F(x)=\int_2^x f(t)\,dt$, what does the Fundamental Theorem of Calculus say about $F'(x)$ when $f$ is continuous?

Question 2

Which expression is equal to $\int_1^4 3\,dx$?

Question 3

If $\int_0^5 f(x)\,dx=7$, what does this value represent?

Question 4

Which antiderivative can be used to evaluate $\int x^2\,dx$?

Question 5

Use the Fundamental Theorem of Calculus to evaluate $\int_1^3 2x\,dx$.