title: How can I integrate in cylindrical coordinates with Scipy?
body: <p>I know how to integrate a function with Scipy. I do it in this way:</p>
  
  <pre><code>    from scipy import *
      from scipy import integrate
      integral = integrate.simps(y,x)
  </code></pre>
  
  <p>In this way I integrate with the Simpsons' rule the function y(x), but what if I want to integrate this function in cylindrical coordinates?
  I mean, instead of the integral   \int y(x)dx I want to solve the integral \int y(x)*2*pi*x*dx.</p>
  
  <p>I tried with</p>
  
  <pre><code>    integral = integrate.simps(y,x**2.*pi)
  </code></pre>
  
  <p>But it doesn't seem to return the correct result.</p>
  
  <p>I am integrating data points, not functions!</p>