1. Review and Basic Integration Techniques

Substitution Review — Quiz

Test your understanding of substitution review with 5 practice questions.

Practice Questions

Question 1

For the substitution $u=3x+1$, what is $du$ in terms of $dx$?

Question 2

Evaluate $\int 2x\cos(x^2)\,dx$.

Question 3

Which substitution is most useful for $\int \frac{x}{x^2+4}\,dx$?

Question 4

Evaluate the definite integral $\int_0^1 \frac{2x}{x^2+1}\,dx$.

Question 5

Evaluate $\int \cos(5x)\,dx$.