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Скачать или смотреть Lesson 113: Iterated Integrals and Area in the Plane | Area of a Plane Region

  • Fahad Hussain
  • 2025-12-27
  • 99
Lesson 113: Iterated Integrals and Area in the Plane | Area of a Plane Region
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Calculus for A.I Specially for Machine Learning and Deep Learning in Urdu/Hindi by Fahad Hussain.
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Explore the fascinating world of series in calculus with our comprehensive comparison of different types! In this video, we break down key concepts that are vital for understanding both pure mathematics and their applications in fields like Machine Learning and Data Science.

In this video, we make you understand Directional Derivative and Gradient in a simple way with examples. These concepts are the foundation of Vector Calculus, Optimization, and Machine Learning.

Master the geometry behind Machine Learning and Deep Learning!
In this powerful Multivariable Calculus lesson, we explore Tangent Planes and Normal Lines using gradients, partial derivatives, and real-world AI intuition.

Unlock the full concept of Extrema of Functions of Two Variables in this Lesson 111 from Calculus III (Multivariable Calculus) — a crucial topic for Mathematics behind Artificial Intelligence, Machine Learning, and Optimization.

In this video, we discuss the applications of extrema of function of two variables in detail.
This topic is very important for engineering mathematics, BSc, MSc, and competitive exams.

We explain how maxima and minima of functions of two variables are used in real life problems such as optimization, economics, engineering design, surface area minimization, cost optimization, and profit maximization using partial derivatives.

What is the real connection between double integrals and Artificial Intelligence?
In this video, you will clearly understand Iterated Integrals and the Area of a Plane Region from a very basic level, and then see why this concept matters in AI, Machine Learning, and Data Science.

We start with simple geometric intuition, then move step-by-step into iterated integrals, showing how area is calculated mathematically using integration. No shortcuts. No confusion. Just clear logic.

🔹 What You’ll Learn in This Video
What area of a plane region really means
Why we use iterated (double) integrals
Difference between single integral vs double integral
How limits of integration define a region
Step-by-step examples for beginners
Real connection with AI & Machine Learning

Whereas Single Variable Integration Basics, Volume Under Surfaces with Triple Integrals (Coming Soon)

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Queries:
Calculus for a single variable and multivariate calculus mathematics behind machine learning and deep learning course outlines of calculus for A.I best books for calculus for machine learning and data science Conic Sections in Calculus chapter 12 Vector-Valued Functions in Vector Calculus III.


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