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Evaluate Integral Evaluate: ∫_2^7 x^2 dx — Step-by-Step Solution — Detailed Solution | AhaStep

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📐 MathLevel 6 — 🔵 Intermediateintegral👁 17 views⏱ 1 min read

Evaluate Integral Evaluate: ∫_2^7 x² dx — Step-by-Step Solution

📝 Problem

Evaluate: ∫_2^7 x^2 dx

✨Detailed Solution

1. 📝 Identify: Definite integral: ∫ from 2 to 7 of x^2 dx

2. 🔍 Antiderivative: F(x) = 1/3x^3

3. 🧮 Apply Newton-Leibniz: F(7) - F(2) = 343/3 - 8/3 = 335/3

4. 🎯 Result: ∫ = 335/3

🔒 4 steps remaining

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1. 📝 Identify: Definite integral: ∫ from 2 to 7 of x^2 dx

2. 🔍 Antiderivative: F(x) = 1/3x^3

3. 🧮 Apply Newton-Leibniz: F(7) - F(2) = 343/3 - 8/3 = 335/3

4. 🎯 Result: ∫ = 335/3

🔒 4 steps remaining

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