y
     ∫(ex - 1)-0.5 dx = pi/6 
      ln(4/3)

where ln x denotes the natural logarithm of x.

Since the function being integrated is positive between ln(8-4abs(sqrt(3))) and ln(4/3), the integral with the former as the upper limit of integration will be negative.  The lower value would have to be the lower limit of integration to get a positive definite integral.

Posted by Charlie on 2007-11-27 21:53:38