6. Topic 6(COLON) Advanced Calculus

Lesson 6.5: Integration Techniques: Substitution And By Parts — Quiz

Test your understanding of lesson 6.5: integration techniques: substitution and by parts with 5 practice questions.

Practice Questions

Question 1

What is the integral of $x^2$ with respect to $x$?

Question 2

Evaluate the integral $\int_0^1 3x^2 \, dx$ using definite integration.

Question 3

Which substitution would be appropriate for the integral $\int x \sqrt{x^2 + 1} \, dx$?

Question 4

What is the result of applying integration by parts to $\int x e^x \, dx$?

Question 5

If $u = 2x + 1$, what are the new limits for the integral $\int_0^2 3(2x + 1)^2 \, dx$?