`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).
See all solutions for this textbook.

1 Answer | Add Yours

shumbm's profile pic

Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

Posted on


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.

We’ve answered 319,643 questions. We can answer yours, too.

Ask a question