5. Contours and Complex Integration

Antiderivatives — Quiz

Test your understanding of antiderivatives with 5 practice questions.

Practice Questions

Question 1

What does it mean for a function $F$ to be an antiderivative of $f$ on a domain?

Question 2

Which function is an antiderivative of $f(z)=3z^2$?

Question 3

If $F$ is an antiderivative of $f$ on a domain and $\gamma$ is a contour from $a$ to $b$, what is $\int_\gamma f(z)\,dz$?

Question 4

What is the value of the integral of a function with an antiderivative around any closed contour in the domain?

Question 5

Which function is an antiderivative of $f(z)=e^z$?