Line Integral of the First Kind: Definition, Theory, and Example

A rigorous visual introduction to the line integral of the first kind. We derive the definition from Riemann sums, discuss key properties, compute a detailed example, and explain the geometric meaning using 3D visualization. Telegram: https://t.me/MathInfinitum 00:00 — Line Integral of the First Kind: Definition 01:45 — Formal Definition: Line Integral of the First Kind 02:14 — Line Integral of the First Kind (EXAMPLE) 05:00 — Geometric Meaning of the Line Integral    • Theorem: Every Convergent Sequence is Boun...      • Solving Differential Equation xy\,dx + (x+...      • Does it Converge or Diverge? Integral of 1...      • Integral of 1/x^2: Power Rule with Negativ...      • Complex Analysis: Finding the Laurent Seri...      • Metric Spaces: Definition, Axioms, and Exa...      • Residue Calculation for Higher-Order and S...   #line #integral #kind #scalars #maths #manim #math #mathematics #visualization #riemann #riemannintegral #examples #solved #calculus #geometric #meaning #vector