Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Let $R=\{(x,y,z): -2\leqslant z\leqslant xy\;\mathrm{ and }\;x^2+y^2=1\}\subset\mathbf R^3$ and consider the vector field $\mathbf F(x,y,z)=-x\mathbf i+y\mathbf j+\exp(z^2)\mathbf k.$ I want to find $$\iint_R\mathrm{curl}\;\mathbf F\;\mathrm d S,$$ but I do not know how to choose a suitable parametrisation.

How do you solve these type of integrals is general?

share|cite|improve this question

Hint: did you try calculating the curl of $\bf F$?

share|cite|improve this answer
I found curl $\mathbf F=0$, which means that the integral is zero. – zeke Jul 23 '12 at 22:56

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.