Improper integral (at limit): negative 6/5 power: .

This integral is improper because the integrand increases without limit for values of x in the range of integration but close to a limit of integration. Consequently, we need to consider the limit of the related integral

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

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

Since the denominator of the second term approaches 0 as a approaches 1 from the right, we see that this integral diverges.

Similar problem which converges.