Integration of hyperbolic cosine function is an important integral formula in integral calculus; this integral belongs to hyperbolic formulae.
The integration of hyperbolic cosine function is of the form
To prove this formula, consider
Using the derivative formula , we have
Integrating both sides of equation (i) with respect to , we have
As we know that by definition integration is the inverse process of derivative, so the integral sign and on the right side will cancel each other, i.e.
Other Integral Formulas of Hyperbolic Cosine Function:
The other formulas of hyperbolic cosine integral with angle of hyperbolic cosine is in the form of function are given as