∫ dx/(e^x + e^-x) = ?

Question

Mark (√) against the correct answer in each of the following:

\(\int \frac{dx}{(e^x + e^{-x})}=?\)

∫ dx/(e^x + e^-x) = ?

A. cot-1 (e^x) + C

B. tan-1 (e^x) + C

C. log |e^x + 1| + C

D. None of these

Answer 1

Given = \(\int \frac{dx}{(e^x + e^{-x})}\)

∫ dx/(e^x + e^-x)

where c is the integrating constant.