Summary – Integration by Partial Fractions
Integration by partial fractions is a technique used to integrate rational functions. Rational functions are expressions in the form of a polynomial divided by another polynomial. The method of partial fractions breaks down a complicated rational function into simpler fractions that are easier to integrate.
The process involves decomposing the original rational function into a sum of simpler fractions. This decomposition is achieved by expressing the original function as a sum of fractions, where the denominators of these fractions are factors of the denominator of the original rational function.
Integration by Partial Fractions
Integration by Partial Fractions is one of the methods of integration, which is used to find the integral of the rational functions. In Partial Fraction decomposition, an improper-looking rational function is decomposed into the sum of various proper rational functions.
If f(x) and g(x) are polynomial functions such functions. that g(x) ≠ 0 then f(x)/g(x) is called Rational Functions. If degree f(x) < degree g(x) then f(x)/g(x) is called a proper rational function. If degree f(x) < degree g(x) then f(x)/g(x) is called an improper rational function. In this article, we will learn about the methods of Integration by Partial Fractions with detailed solved examples.
Table of Content
- Method of Integration by Partial Fractions
- Integration by Partial Fraction Method
- How to Integrate using Partial Fractions?
- Integration by Partial Fractions Examples
- Integration by Partial Fractions Practice Problems
- Summary – Integration by Partial Fractions