In this tutorial we shall discuss the integration of 1 over x into the square root of x^2-1, and this is another important form of integration.
The integration of 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 the derivative, so we have
We know that the derivative of
This formula can also be written as