✦Đang tải AhaStep...

Evaluate Integral Evaluate: ∫_3^6 x^3 dx — Step-by-Step Solution — Detailed Solution | AhaStep

Home›数学›Evaluate Integral Evaluate: ∫_3^6 x^3 dx — Step-by-Step Solution

📐 数学难度 5 — 🟢 Basicintegral👁 15 浏览次数⏱ 1 min read

Evaluate Integral Evaluate: ∫_3^6 x³ dx — Step-by-Step Solution

📝 Problem

Evaluate: ∫_3^6 x^3 dx

✨详细解答

1. 📝 Identify: Definite integral: ∫ from 3 to 6 of x^3 dx

2. 🔍 Antiderivative: F(x) = 1/4x^4

3. 🧮 Apply Newton-Leibniz: F(6) - F(3) = 324 - 81/4 = 1215/4

4. 🎯 Result: ∫ = 1215/4

🔒 4 步剩余

了解更多关于数学中integral的知识。

🚀

拍照或输入题目 — AI逐步解答

1. 📝 Identify: Definite integral: ∫ from 3 to 6 of x^3 dx

2. 🔍 Antiderivative: F(x) = 1/4x^4

3. 🧮 Apply Newton-Leibniz: F(6) - F(3) = 324 - 81/4 = 1215/4

4. 🎯 Result: ∫ = 1215/4

🔒 4 步剩余

📐 Lv.2

Tính tích phân Tính tích phân: ∫_0^1 x³ dx — Giải bài tập Toán 12