nombuleloolwethu27 nombuleloolwethu27

11-05-2022
Mathematics

contestada

integral of dx/(e^x+e^-x)
given tanhu

Respuesta :

okikiolu3 okikiolu3

13-05-2022

Answer:

= arctan( e^x)+c

Step-by-step explanation:

∫1/e^x+e^-x × dx

Apply u - substitution

=∫1/u²+1 du

Use the common integral: =∫1/u²+1 du

= arctan(u)

Substitute back u =e^x

=arctan(e^x)

Add a constant to the solution

= arctan( e^x)+c

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