In this tutorial we shall look at another important integration: the integral of 1 over the square root of . This integral also uses an important formula.
The integral of 1 over the square root 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 the integration is the inverse process of the derivative, so we have
We know that the derivative of
This formula can also be written as