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Calculus

Most of the 16 Articles in this section are original works. The most notable ones of which are Articles 1 and 4. Article 1 presents a method of implicit integration and Article 4 introduces a brand new characterization of parabolas. Depending on the visitor’s taste, there might be even more notable articles in this section.

  • 1. A Method of Implicit Integration
  • 2. A Poetic Characterization for Parabolas
  • 3. Analytical Geometric Characterizations of Cubic Functions
  • 4. A New 2025 Characterization of Parabolas
  • 5. Altering Corners of Curves for Smoothness
  • 6. Converse Propositions for the Mean and Average Value Theorems of Calculus (Revised November 2025)
  • 7. n Times Differentiable Interpolating Curves and Pascal Triangle
  • 8. An Infinitely Many Times Differentiable Interpolation
  • 9. An n Times Smooth Interpolation Between a Horizontal and an Oblique Line
  • 10. Trigonometric Approximation of the Function Ln(x)
  • 11. Interesting Facts Regarding Inflection Point
  • 12. Remarkable Functions with Notable Compositions GoF = F-G and FoG = F over G
  • 13. A Calculus Proposition with Application
  • 14. Horizontal Asymptotes; a List of Possible Scenarios
  • 15. A Direct Formula for the nth Derivative of a Function
  • 16. Alternative Definition for Derivatives
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