Evaluate the improper integral if it converges, or state that it diverges. 
Definitions:
Birth Control
A method or device used to prevent pregnancy.
Total Fertility Rate
The average number of children that would be born to a woman over her lifetime in a given population.
Replacement-level Fertility
The birthrate needed for a population to reproduce itself exactly from one generation to the next, excluding any changes due to migration.
Birth Rate
The number of live births per thousand people in a population per year.
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