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*Log[Cos[(a*x)/2] + Sin[(a*x)/2]] + Log[Sin[a*x]])/a

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

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

           a x        a x
-2 Log[Cos[---] + Sin[---]] + Log[Sin[a x]]
            2          2
-------------------------------------------
                     a
Time to compute: 0.03 second
Spread the word: