5. Integral Calculus

Substitution Method — Quiz

Test your understanding of substitution method with 5 practice questions.

Practice Questions

Question 1

In the integral $\int 2x\cos(x^2)\,dx$, which substitution is the best first step?

Question 2

Evaluate $\int 3x^2 e^{x^3}\,dx$.

Question 3

Evaluate $\int_0^1 2x(x^2+1)^3\,dx$.

Question 4

If $u = x^2 + 5x$, what is $du$?

Question 5

Evaluate $\int \frac{2x}{x^2+1}\,dx$.