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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫

ArcTan[(a*Tan[c*x])/Sqrt[a^2 - b^2]]/(a*Sqrt[a^2 - b^2]*c)


Integrate[1/(a^2 - b^2*Cos[c*x]^2), x] ==
ArcTan[(a*Tan[c*x])/Sqrt[a^2 - b^2]]/ (a*Sqrt[a^2 - b^2]*c)



                  1
Integrate[-----------------, x] == 
           2    2         2
          a  - b  Cos[c x]

        a Tan[c x]
ArcTan[-------------]
             2    2
       Sqrt[a  - b ]
---------------------
          2    2
  a Sqrt[a  - b ] c

Time to compute: 0.09 second

Spread the word: