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

Expert Answers
Borys Shumyatskiy eNotes educator| Certified Educator

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.