Mathematical Foundations · Integral Calculus

Improper Integrals and Special Functions · Mathematical Analysis

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Rigorous Treatise on Analysis and Calculation

Overview

Topics covered

  • Introduction
  • Integral Calculus: Improper Integrals and Special Functions
  • Origin of the Riemann extension and limitations of the classical integral
  • Integrals of the First Kind: Infinite Intervals
  • 2.1 The p-integral on infinite intervals
  • Integrals of the Second Kind: Unbounded Integrands

Related concepts

Main connections

  • Calculus & differentiation
  • Normal (Gaussian) distribution
  • Bayes' theorem & priors
  • Residual analysis & diagnostics
  • Causal inference & potential outcomes

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

∫a∞f(x)dx=limt→∞∫atf(x)dx
View LaTeX source\int_{a}^{\infty} f(x) \, dx = \lim_{t \to \infty} \int_{a}^{t} f(x) \, dx