Reduction Formula Evaluation of Integrals: Integral Calculus
About this course
You have noticed somewhere that any formula which connects the given integral with another integral in which the integrand is of the same type but is of lower degree is called a Reduction Formula. Repeated or continuous application of reduction formula helps us to evaluate the given integral. This method of integration is called integration by successive reduction. Reduction formula can be easily derived using integration by parts i.e., product rule of integration. In this whole course, assume n, m are to be integers unless, otherwise stated.
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What you'll learn
- derive reduction formulas for various integral families
- apply integration by parts to create reduction relationships
- evaluate definite and indefinite integrals using successive reduction
- handle integrals of polynomial, trigonometric, and rational functions with integer exponents
Course objectives
- demonstrate the derivation of reduction formulas
- practice repeated use of reduction to simplify complex integrals
- build proficiency in integration by parts as a tool for reduction
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