Class 12 notes

Properties of Definite Integrals

Description:In this post, we discuss some important properties of definite integrals which simplify calculations and make evaluation easier. These properties are frequently used in NCERT Class 12 Mathematics and are very useful for solving integration problems in board exams and competitive exams like JEE. Introduction The definite integral not only represents the area under a […]

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Partial Fractions and Formulae

What are Partial Fractions? Steps for Using Partial Fractions Types of Partial Fractions Notes Tip:Whenever you see a rational function, first try to write it in one of the forms above. This will make integration much easier! Example of Partial Fraction Decomposition Express as a sum of partial fractions. Step 1: Identify the Form: The

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Relations

Cartesian Product The Cartesian product of two sets A and B, denoted as A × B, is a set that contains all possible ordered pairs where the first element of each pair is from set A and the second element is from set B. Formally, if then the Cartesian product A × B is defined

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Integration formulas

Introduction Integration can feel tricky at first, but it becomes much easier once you remember the right formulas. Whether you’re preparing for CBSE Class 12 board exams, competitive exams like JEE, CUET, or just trying to strengthen your basics, having a clear list of integration formulas is essential. Think of these formulas as your shortcuts

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