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Evaluate Integral Evaluate: ∫_3^8 x^4 dx — Step-by-Step Solution — Detailed Solution | AhaStep

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📐 MathLevel 4 — 🟢 Basicintegral👁 15 views⏱ 1 min read

Evaluate Integral Evaluate: ∫_3^8 x^4 dx — Step-by-Step Solution

📝 Problem

Evaluate: ∫_3^8 x^4 dx

✨Detailed Solution

1. 📝 Identify: Definite integral: ∫ from 3 to 8 of x^4 dx

2. 🔍 Antiderivative: F(x) = 1/5x^5

3. 🧮 Apply Newton-Leibniz: F(8) - F(3) = 32768/5 - 243/5 = 6505

4. 🎯 Result: ∫ = 6505

🔒 4 steps remaining

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1. 📝 Identify: Definite integral: ∫ from 3 to 8 of x^4 dx

2. 🔍 Antiderivative: F(x) = 1/5x^5

3. 🧮 Apply Newton-Leibniz: F(8) - F(3) = 32768/5 - 243/5 = 6505

4. 🎯 Result: ∫ = 6505

🔒 4 steps remaining

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