Improper Integral – A sum of exponential functions with 2 infinite integration limits – Exercise 1566

Exercise

Evaluate the integral

\int_{-\infty}^{\infty} \frac{1}{e^x+e^{-x}} dx

Final Answer


\int_{-\infty}^{\infty} \frac{1}{e^x+e^{-x}} dx=\frac{\pi}{2}

Solution

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