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-x + (23*Tan[b + a*x])/(15*a) - (11*Sec[b + a*x]^2*Tan[b + a*x])/(15*a) + (Sec[b + a*x]^4*Tan[b + a*x])/(5*a)

Integrate[Tan[b + a*x]^6, x] ==
-x + (23*Tan[b + a*x])/(15*a) - (11*Sec[b + a*x]^2*Tan[b + a*x])/(15*a) + (Sec[b + a*x]^4*Tan[b + a*x])/(5*a) 

                      6
Integrate[Tan[b + a x] , x] == 

     23 Tan[b + a x]
-x + --------------- - 
          15 a
 
                 2
  11 Sec[b + a x]  Tan[b + a x]
  ----------------------------- + 
              15 a
 
              4
  Sec[b + a x]  Tan[b + a x]
  --------------------------
             5 a
Time to compute: 0.05 second
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