Lesson 16 of 18Article14 min
Improper Integrals
Replace ∞ with a finite bound and take a limit. The integral converges if that limit is a finite number; otherwise it diverges.
Infinite limits or unbounded integrands
Replace ∞ with a finite bound and take a limit. The integral converges if that limit is a finite number; otherwise it diverges.
Comparison tests: if 0 ≤ f ≤ g and ∫g converges, so does ∫f; if ∫f diverges and f ≥ g ≥ 0, so does ∫g.