Final answer:
Hyperbolic trigonometric integrals are typically reduced using substitution with exponential functions or trigonometric identities, with integration by parts and partial fraction decomposition being other possible methods.
Step-by-step explanation:
Hyperbolic trigonometric integrals are typically reduced using substitution with exponential functions. This method involves using the definitions of hyperbolic sine (sinh) and hyperbolic cosine (cosh) in terms of exponential functions to simplify the integral into a form that can be more easily integrated.
Another common method is to use trigonometric identities specific to hyperbolic functions to simplify the integrals before integrating. Less commonly, when appropriate, integration by parts and partial fraction decomposition may also be used, especially when dealing with products of functions or rational functions, respectively.