7. Physical Applications and Improper Integrals

Improper Integrals And Convergence — Quiz

Test your understanding of improper integrals and convergence with 5 practice questions.

Practice Questions

Question 1

Which integral is improper because it has an infinite interval of integration?

Question 2

Evaluate $\int_1^\infty \frac{1}{x^2}\,dx$.

Question 3

Does $\int_1^\infty \frac{1}{x}\,dx$ converge or diverge?

Question 4

Evaluate $\int_0^1 \frac{1}{\sqrt{x}}\,dx$.

Question 5

Which limit correctly represents $\int_2^\infty f(x)\,dx$?