Integration techniques, Integration by successive reduction,
gamma function and its application in evaluating the complex integrals
Integration of trigonometric functions of higher degree
solving complicated integrals
Basics of Integration specially integration by parts
be able to solve simple integrals based on trigonometric functions
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.
Who this course is for:
Undergraduate and Post Graduate students
Bsc students, B tech students
Any student who wants to master various integration techniques
10 sections • 21 lectures • 1h 48m total length
Introduction to Definite Integrals
Reduction formula for sin^m x cos^n x
Shortcut method to evaluate the integral of sin^m x cos^n x.
Hi ! This is Alok Gupta, Ph.D. from Banaras Hindu University, India. I teach Mathematics to students of class 10th and 12th students for board exam preparation of CBSE, ISC, boards. I am an expert of Mathematics and Computational Mathematics. I create course content of higher Mathematics and high quality tutorials of various computational softwares, like Matlab, Mathematica, Maple, etc.