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

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