Answer :

Take ex out from the denominator.



Let, e-x + 2 = t


Differentiating both sides with respect to x



-dt = e-x dx



Use formula


Y = -ln t + c


Again, put e-x + 2 = t


Y = -ln(e-x + 2) + c


Note: Don’t forget to replace t with the function of x at the end of solution. Always put constant c with indefinite integral.


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