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Question

Engineering Mathematics Question on Definite and indefinite integrals

The value of the integral 0dxex+ex\int_{0}^{\infty} \frac{dx}{e^x + e^{-x}} is:

A

0

B

π4\frac{\pi}{4}

C

π2\frac{\pi}{2}

D

π\pi

Answer

π4\frac{\pi}{4}

Explanation

Solution

The correct option is (B): π4\frac{\pi}{4}