11. Residues

Applications To Contour Integrals — Quiz

Test your understanding of applications to contour integrals with 5 practice questions.

Practice Questions

Question 1

Evaluate $\oint_{|z|=3} \frac{1}{z-2}\,dz$ counterclockwise.

Question 2

Evaluate $\oint_{|z|=2} \frac{z}{z^2+1}\,dz$ counterclockwise.

Question 3

Evaluate $\oint_{|z|=1} e^z\,dz$.

Question 4

Evaluate $\oint_{|z|=2} \frac{z^2+1}{z-1}\,dz$ counterclockwise.

Question 5

Evaluate $\oint_{|z|=2} \frac{\sin z}{z^2}\,dz$ counterclockwise.