Integration of Hyperbolic Functions

Introduction to Integration of Hyperbolic Functions

The integration of hyperbolic functions involves finding the antiderivative of the hyperbolic sine function, sinh(x). The general antiderivative is given by

∫ sinh(x) dx = cosh(x) + C

where C is the constant of integration.

Parameter usage:

• x = value of the variable in the hyperbolic sine function

Output:

• integral = the antiderivative of sinh(x) with respect to x

Data validation

The parameter should be a real number.

Summary

This formula provides the antiderivative of the hyperbolic sine function, which is useful in calculus and mathematical analyses involving hyperbolic functions.