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

1 Answer

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

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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.