5. Calculus

Integration By Substitution — Quiz

Test your understanding of integration by substitution with 5 practice questions.

Practice Questions

Question 1

What is the main idea of integration by substitution?

Question 2

In the substitution $u = x^2 + 1$, what is $\frac{du}{dx}$?

Question 3

Which substitution is most suitable for evaluating $\int 2x\,(x^2 + 3)^5\,dx$?

Question 4

After substituting $u = x^2 + 1$, what does $2x\,dx$ become?

Question 5

Evaluate $\int 2x\,(x^2 + 1)^3\,dx$ using substitution.