4.3 STANDARD INTEGRALS

List of  Formulae: Example : Soln: Example : Soln: Example : Soln: Example : Soln: Put      u  = 3x + 2 Example : Soln: Example : Soln: Put      u  = 3x – 2 Example : Soln: Example : Soln: Amazon.in Widgets Example : Soln: Example : Soln:

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4.2 INTEGRATION BY SUBSTITUTION

So far we have dealt with functions, either directly integrable using integration formula (or) integrable after decomposing the given functions into sums & differences. which cannot be decomposed into sums (or) differences of simple functions. In these cases, using proper substitution, we shall reduce the given form into standard form, which can be integrated using basic integration formula. When the integrand (the function to be integrated) is either in multiplication or in division form and if the derivative of one full or meaningful part of the function is equal to…

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4.1 INTEGRATION – DECOMPOSITION METHOD

Sir Sardar Vallabhai Patel, called the Iron Man of India integrated several princely states together while forming our country Indian Nation after independence. Like that in Maths while finding area under a curve through integration, the area under the curve is divided into smaller rectangles and then integrating (i.e) summing of all the area of rectangles together. So, integration means of summation of very minute things of the same kind. Integration as the reverse of differentiation:             Integration can also be introduced in another way, called integration as the reverse…

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