5. Integral Calculus

Integration By Parts — Quiz

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

Practice Questions

Question 1

Which formula is the integration by parts rule?

Question 2

If $u=x$ and $dv=e^x\,dx$, what are $du$ and $v$?

Question 3

Evaluate $\int x e^x\,dx$.

Question 4

Evaluate $\int \ln x\,dx$ for $x>0$.

Question 5

Evaluate $\int x\cos x\,dx$.