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

Exercise

Evaluate the integral

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

Final Answer


1ex+exdx=π2\int_{-\infty}^{\infty} \frac{1}{e^x+e^{-x}} dx=\frac{\pi}{2}

Solution

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