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Evaluate Integral Evaluate: ∫_2^5 x^4 dx — Step-by-Step Solution — Detailed Solution | AhaStep

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📐 MathLevel 5 — 🟢 Basicintegral👁 20 views⏱ 1 min read

Evaluate Integral Evaluate: ∫_2^5 x^4 dx — Step-by-Step Solution

📝 Problem

Evaluate: ∫_2^5 x^4 dx

✨Detailed Solution

1. 📝 Identify: Definite integral: ∫ from 2 to 5 of x^4 dx

2. 🔍 Antiderivative: F(x) = 1/5x^5

3. 🧮 Apply Newton-Leibniz: F(5) - F(2) = 625 - 32/5 = 3093/5

4. 🎯 Result: ∫ = 3093/5

🔒 4 steps remaining

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1. 📝 Identify: Definite integral: ∫ from 2 to 5 of x^4 dx

2. 🔍 Antiderivative: F(x) = 1/5x^5

3. 🧮 Apply Newton-Leibniz: F(5) - F(2) = 625 - 32/5 = 3093/5

4. 🎯 Result: ∫ = 3093/5

🔒 4 steps remaining

📐 Lv.2

求积分判断广义积分 ∫₁^∞ 1/x² dx 是否收敛。若收敛，求其值。 — 微积分详解