Improper integral (between limits): negative 6/5 power: .

This integral is improper because the integrand increases without limit for x close to a value which is in the range of the integration. Consequently, we need to consider sum of the limits of the related integrals

If we express this as a power in the numerator, we can use the Power Rule of integration and get

, or

Substituting the limits of integration (but not yet evaluating the limit), we get

, or

Since the terms containing a or b in the denominator approach 0 as a or b approach 1, we see that this integral diverges.

Similar problem which converges.