VTU Advanced Mathematics – I |Integral Calculus |Triple Integral Problem (∭ dx dy dz) | MATDIP301/31

📘 Advanced Mathematics – I (MATDIP301 / MATDIP31)
📚 VTU Blown-Up Syllabus | Bridge Course for Lateral Entry (3rd Sem BE)
🔁 Common for All Branches – 2002, 2006, 2010, 2015, 2017, 2018 Schemes
🎓 Visvesvaraya Technological University (VTU), Belagavi

📝 In This Video – Module 4: Integral Calculus
We solve a Question Bank problem involving a triple integral with rectangular limits:

🔹 Problem Statement:
Evaluate: Evaluate the triple integral from z = −1 to 1, y = −2 to 2, and x = −3 to 3 of dx dy dz



🔸 This is a solved question from:
📄 VTU Module 4 | Integral Calculus
📚 Question Bank Problems

🔍 Topic: Triple Integrals

Understanding triple integration with simple rectangular limits

Breaking down the problem into step-by-step evaluation

Applying limits carefully for dx, dy, dz

📌 Step-by-step solution includes:
✔️ Inner integral evaluation with respect to x
✔️ Middle integral evaluation with respect to y
✔️ Outer integral evaluation with respect to z
✔️ Final simplified result with reasoning

✅ Helpful for VTU 3rd Semester Exam Preparation
✅ Important for all branches – DIPMATH students (Lateral Entry)
✅ Based on official VTU Question Bank & Model Papers

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