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