`int_-10^10 (2e^x)/(sinh(x) + cosh(x)) dx` Evaluate the integral

Textbook Question

Chapter 5, 5.4 - Problem 40 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

Posted on

Hello!

Consider the denominator first:

`sinh(x)+cosh(x)=(e^x-e^(-x))/(2) +(e^x+e^(-x))/(2)=e^x.`

Therefore the integrand is equal to `2` and the integral is 2*(10-(-10))=40.

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