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Solve: improper integral ∫₁^∞ 1/x^2 dx — Detailed Solution | AhaStep

Home›Math›Solve: improper integral ∫₁^∞ 1/x^2 dx

📐 MathLevel 2 — 🟢 Basicimproper_integral👁 13 views⏱ 1 min read

Solve: improper integral ∫₁^∞ 1/x² dx

📝 Problem

improper integral ∫₁^∞ 1/x^2 dx

✨Detailed Solution

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1. 📐 Integral: ∫₁^∞ 1/x²dx

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2. 🧮 Evaluate: lim(t→∞) [-1/x]₁^t = 0+1 = 1

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3. ✅ Converges: = 1

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Đáp án: 1

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Solve: Determine whether the improper integral ∫₁^∞ 1…