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

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

Integrate[Csc[a*x]*Sec[a*x]^2, x] ==
-(Log[2*Cos[(a*x)/2]]/a) + Log[2*Sin[(a*x)/2]]/a + Sec[a*x]/a 

                           2
Integrate[Csc[a x] Sec[a x] , x] == 

            a x                a x
  Log[2 Cos[---]]    Log[2 Sin[---]]
             2                  2      Sec[a x]
-(---------------) + --------------- + --------
         a                  a             a
Time to compute: 0.02 second
Spread the word: