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

given the following region $R=\lbrace m,n \geq0$, $1 \geq m+n \geq 2\rbrace$ where $(m,n) \in \mathbb{R}^2$.write in polar coordinates $(r, \theta)$ the following double integral $\int\int_R m \,dA$

share|cite|improve this question
my answer was $\int_{0}^{\frac{\pi}{2}}$ $\displaystyle\int_{\frac{1}{(cos \theta+ sin\theta)}^{\frac{2}{(cos \theta+ sin\theta)}}}$ $r^2$ cos $\theta$ dr d$\theta$. Is this answer true? – nour Jun 10 '12 at 22:35
Yes. You are correct. $\int_0^{\frac{\pi}{2}}\int_{\frac{1}{\cos\theta + \sin\theta}}^{\frac{2}{\cos\theta +\sin\theta}}r^2\cos\theta drd\theta$. – M.B. Jun 10 '12 at 22:45

Your Answer


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

Browse other questions tagged or ask your own question.