4. Integrals

Substitution — Quiz

Test your understanding of substitution with 5 practice questions.

Practice Questions

Question 1

Which of the following integrals can be solved using a simple u-substitution?

Question 2

What is the correct substitution for $u$ when evaluating the integral $\int (2x + 1)^3 dx$?

Question 3

If $u = \sin(x)$ in a u-substitution, what is $du$?

Question 4

After performing the substitution $u = x^2 + 3$, the integral $\int 2x(x^2 + 3)^4 dx$ becomes:

Question 5

Evaluate the indefinite integral $\int e^{5x} dx$ using u-substitution.