Science:Math Exam Resources/Courses/MATH101/April 2012/Question 03 (d)/Hint 1

Note that this improper integral has both upper and lower limits of integration being improper.

To write it as a standard Type I improper integral, one first has to split it into two integrals. Then, if both integrals converge, the original integral converges. But if at least one of the integrals diverges, then the original integral diverges.