Partial Fractions – Calculus II

Section 7.4: Partial Fractions Section 7.4: Partial Fractions In this section, we are going to take a look at integrals of rational expressions of polynomials. Let’s begin by reviewing a familiar integral to show why partial fractions can be so helpful. Example 1 Consider the integral $ int frac{2x – 1}{x^2 – x – 6} […]

Integration by Parts – Calculus II

Integration by Parts – 30 Worked Examples Integration by Parts One of the most important techniques you learn in Calculus II is Integration by Parts. It is used to integrate products of functions (especially when those products do not succumb to a simple substitution). Below is the standard formula: Integration by Parts Formula (Indefinite Integrals): […]

Exponents and Logs – IB Math AA SL

Exponents and Logs – IB Math AA SL: Comprehensive Notes with 30 Example Questions Exponents and Logs – IB Math AA SL: Comprehensive Notes Welcome to this comprehensive set of notes on Exponents and Logarithms for the IB Mathematics: Analysis & Approaches SL curriculum. In these notes, you will find detailed explanations of key concepts, […]

Financial Mathematics – IB Math AI SL

Financial Mathematics – IB Math AI SL Financial Mathematics – IB Math AI SL Table of Contents 1. Introduction 2. Key Concepts & Formulas 3. Examples with Solutions 4. Conclusion 1. Introduction Financial Mathematics is a vital component of the IB Math Analysis & Approaches SL (AI SL) curriculum. It integrates algebraic techniques and real-world […]

AP Calculus AB: Chapters 1–10 Comprehensive Guide.

AP Calculus AB: Chapters 1–10 Comprehensive Overview AP Calculus AB: Chapters 1–10 Comprehensive Overview Welcome to this in-depth resource on AP Calculus AB. While calculus topics such as limits, derivatives, and integrals often take center stage in an AP Calculus AB course, it is vital to have a solid foundation in pre-calculus concepts. Here, we […]

AP Precalculus Formulae: Comprehensive Formulae Guide

AP Precalculus Formulae: Comprehensive Guide AP Precalculus Formulae: Comprehensive Guide Welcome to this extensive guide on AP Precalculus formulae! This resource contains detailed discussions of key concepts, formulas, and applications across four major units: (1) Polynomial and Rational Functions, (2) Exponential and Logarithmic Functions, (3) Trigonometric and Polar Functions, and (4) Functions Involving Parameters, Vectors, […]

All Math Formulas: A Comprehensive Formulae Guide

All Math Formulas: Comprehensive Guide All Math Formulas: A Comprehensive Formulae Guide Word Count Note: This article provides an extensive overview of math formulas—across arithmetic, algebra, geometry, trigonometry, calculus, statistics, and beyond. Our focus is on readability and thoroughness, making this a valuable resource whether you are a student prepping for exams, a teacher needing […]