title: Integral with variable limits
body: <p>Hi im and struggling to solve an integral with a variable as the limit using matlab, the 2 biggest problems I have is that matlab can't find the integral explicitly and a lot of the numerical methods wont except variables</p>
  
  <p>I need to solve </p>
  
  <pre><code>0=H/2R  - integral (z(x) between b and 1)
  
  z(x)= (((x/((a*x*x)+1-a))^2)-1)^-0.5
  b= (sin(t)+sqrt(t^2 + 4a(a-1)))/2a
  </code></pre>
  
  <p>I know H,R and t and the idea is to solve the integral then solve the nonlinear equation for a, I know to suse fzero/fsolve for the nonlinear equation but I am stuggling to solve the integral</p>