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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

Calculus #calculus #mathematics #integration #integration by parts #reduction formulas #successive reduction #integral evaluation #reduction formula #definite integral #indefinite integral #polynomial integrals #trigonometric integrals #rational function integrals #integer exponents #integral calculus #integration techniques

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