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Integrate (1-tanx)dx (1+tanx)

Integrate (1-tanx)dx


              (1+tanx)   

Grade:12

1 Answers

vikas askiitian expert
509 Points
11 years ago

I=(1-tanx)/1+tanx) dx

I={cosx-sinx/sinx+cosx}dx

on putting sinx+cosx=t

         (cosx-sinx)dx = dt

I=dt/t

 =logt +c

 =logsinx+cosx  + c

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