· Improper Integral
An integral with at least one infinite limit or an unbounded integrand.
· Infinite Interval
When one or both integration limits are infinite.
· Infinite Discontinuity
When the integrand becomes infinite at some point of the interval.
· Convergent Integral
An improper integral that has a finite limit.
· Divergent Integral
An improper integral that does not have a finite limit.
· Limit Definition
Improper integrals are defined by limits replacing infinite bounds or singularities.
· p-Test
The integral ∫₁^∞ (1/x^p) dx converges if p > 1 and diverges if p ≤ 1.
· Asymptotic Behavior
Describes how a function behaves as x → ∞ or near a singularity.
· Comparison Test
A method to determine convergence by comparing with a known convergent or divergent integral.
» Glossary : improper integral
