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Evaluate Integral Evaluate: ∫_2^7 x^4 dx — Step-by-Step Solution — Detailed Solution | AhaStep

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📐 MathLevel 6 — 🔵 Intermediateintegral👁 24 views⏱ 1 min read

Evaluate Integral Evaluate: ∫_2^7 x^4 dx — Step-by-Step Solution

📝 Problem

Evaluate: ∫_2^7 x^4 dx

✨Detailed Solution

1. 📝 Identify: Definite integral: ∫ from 2 to 7 of x^4 dx

2. 🔍 Antiderivative: F(x) = 1/5x^5

3. 🧮 Apply Newton-Leibniz: F(7) - F(2) = 16807/5 - 32/5 = 3355

4. 🎯 Result: ∫ = 3355

🔒 4 steps remaining

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1. 📝 Identify: Definite integral: ∫ from 2 to 7 of x^4 dx

2. 🔍 Antiderivative: F(x) = 1/5x^5

3. 🧮 Apply Newton-Leibniz: F(7) - F(2) = 16807/5 - 32/5 = 3355

4. 🎯 Result: ∫ = 3355

🔒 4 steps remaining

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