Partial Fractions
What is Partial Fractions ?
Partial fractions is a technique used to decompose a rational function into simpler fractions. It simplifies integration and algebraic manipulation by expressing the function as a sum of fractions with distinct denominators. The decomposition involves determining coefficients through equations. Partial fractions are useful in calculus, engineering, and physics for solving problems involving rational functions, improper integrals, Laplace transforms, and differential equations. Mastering this technique allows for more effective problem-solving and evaluation of integrals and differential equations.
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Table of Content
1. Definition.
2. Different cases of partial fractions.
3. Partial fractions of improper rational functions.
4. General method of Finding out the constants.