title: MATLAB Integration Situation
body: <p>I want to evaluate the integral of this function :</p>
  
  <pre><code>(cos(t^2)*sin(t)^2)^(1/2)    
  </code></pre>
  
  <p>over the period </p>
  
  <pre><code>-15*pi:50*pi
  </code></pre>
  
  <p>I am using these :</p>
  
  <pre><code>f=@(t) (cos(t.^2).*sin(t).^2).^(1/2);
  quad(f,-15*pi,50*pi)
  </code></pre>
  
  <p>But i am getting warned:</p>
  
  <pre><code>Warning: Maximum function count exceeded; singularity likely.
  &gt; In quad at 110
  In PPEL at 6
  
  ans =
  
  35.8252 +54.5673i
  </code></pre>
  
  <p>Most likely there is something stupid that i don't know about the theoretical part of the math, like some singularity as MATLAB said. </p>
  
  <p>Moreover, when i want to evaluate this function sybolically with this :     </p>
  
  <pre><code>int((cos(t.^2).*sin(t).^2).^(1/2))
  </code></pre>
  
  <p>It says :
      Warning: Explicit integral could not be found.  </p>
  
  <pre><code>ans =
  
  int((cos(t^2)*sin(t)^2)^(1/2), t)
  </code></pre>
  
  <p>What's the solution ?</p>