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Meet Shimon Sir enlightens you with today's topic of "INTEGRATION" in an effective way.
Definite integral is generally considered to be a tough topic by students. It must be studied after one is thorough with the concepts of indefinite integrals. The topic is flooded with formulae related to change of limits etc. and hence demands consistent practice. It is an important component of the IIT JEE Mathematics syllabus and so students cannot dare to skip this topic. It not only requires learning of all important formulae but also requires a good speed with thorough knowledge of integration.
Many students grasp integration but make silly errors when completing the two part calculation. Simple peer assessment could help students to think about setting each step of their work minimizing these small but significant slips. This work could be made more engaging by inviting students to mix and match integration problems with graphical representations.
Indefinite Integration
Integration means summation. Integration originated during the course of finding the area of a plane figure. Integration is the reverse of differentiation it is also called as the antiderivative.
Methods of Integration
Substitution
Integration by partial fractions
By parts
Euler substitution
Reduction method
How is indefinite integral different from definite integral?
Indefinite integral lays down the foundation for definite integral. Both the concepts are synonymous and interrelated. As the name suggests, while indefinite integral refers to the evaluation of indefinite area, in definite integration
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