integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
(2*Sin[(a*x)/2])/(a*Cos[(a*x)/2] - a*Sin[(a*x)/2])

Integrate[1/(1 - Sin[a*x]), x] ==
(2*Sin[(a*x)/2])/(a*Cos[(a*x)/2] - a*Sin[(a*x)/2]) 

               1
Integrate[------------, x] == 
          1 - Sin[a x]

            a x
      2 Sin[---]
             2
-----------------------
      a x          a x
a Cos[---] - a Sin[---]
       2            2
Time to compute: 0.05 second
Spread the word: