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(Cos[x]^(1 - n)*Sin[x]^(-1 + n))/(-1 + n)


Integrate[Sin[x]^(-2 + n)/Cos[x]^n, x] ==
(Cos[x]^(1 - n)*Sin[x]^(-1 + n))/(-1 + n)



                -2 + n
          Sin[x]
Integrate[------------, x] == 
                  n
            Cos[x]

      1 - n       -1 + n
Cos[x]      Sin[x]
------------------------
         -1 + n

Time to compute: 0.21 second

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