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Calculus · INT

Improper Integrals — Infinite Limits and Unbounded Integrands

∫[a,∞) f(x) dx = lim_{t→∞} ∫[a,t] f(x) dx. Converges if the limit is finite; diverges otherwise.

CalculusCommon Core FUN-6.DINTVerified correct ✓

Worked examples

Evaluate the improper integral ∫[1,∞) e^(-3x) dx. Round to 4 decimal places.
Answer: 0.0166
Evaluate the improper integral ∫[1,∞) 1/x^2 dx. Round to 4 decimal places.
Answer: 1

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