Integrate: 1/(e^x -e^-x) .

Answers (1)

Solution: We have ,

I=int frac1e^x-e^-xdx=int frace^xe^2x-1dx

       Put ,   e^x=tRightarrow e^xdx=dt

 I=intfrac1t^2-1dt=frac12ln(fract-1t+1)+c

  I=frac12ln(frace^x-1e^x+1)+c

         

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