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Choose the correct answersint(dx)/(e^x+e...

Choose the correct answers`int(dx)/(e^x+e^(-x))`is equal to(A) `tan^(-1)(e^x)+C` (B) `tan^(-1)(e^(-x))+C` (C) `log(e^x-e^(-x))+C` (D) `log(e^x+e^(-x))+C`

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To solve the integral \(\int \frac{dx}{e^x + e^{-x}}\), we can follow these steps: ### Step 1: Rewrite the Integral We start with the integral: \[ I = \int \frac{dx}{e^x + e^{-x}} \] We can rewrite \(e^{-x}\) as \(\frac{1}{e^x}\): ...
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