In this tutorial we shall discuss integration of hyperbolic secant square function and this integral is an important integral formula; this integral belongs to hyperbolic formulae.
The integration of hyperbolic secant square 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 Secant Square Function:
The other formulas of hyperbolic secant square integral with angle of hyperbolic sine is in the form of function are given as