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Indefinite Integration

This chapter is devoted entirely to develop tools and techniques to find out anti-derivatives of arbitrary functions. The first section has basic rules and formulae pertaining to integration.Integration by simple re-arrangements is explained in the second section where many complex functions can be reduced to simpler forms by some rearrangement/algebraic manipulation.Integration by substitution is discussed in the third section which is used extensively to evaluate integrals. The fourth section explains the expansion using partial fractions deals with the integration of general algebraic rational functions, of the form f(x) / g(x). Integration by parts is introduced in the fifth section using which we can calculate the integral of the product of any two arbitrary functions. At the end of this section, we have a series of exercises to test your understanding of this chapter,solved examples, previous years’ IIT JEE questions pertaining to this chapter.

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