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7.3 Working rule for the evaluation of a definite integral as a limit of a sum

In calculating , we have the liberty to choose:

(1) The mode of partition is one wherein the sub intervals are of the same length, say Dx Clearly, the points of division form an A.P.


Note : The area in the question is that of trapezium ABCD in figure by usual formula,

This area is

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Index

7.1 Definition
7.2 Definite integral as on an area under curve
7.3 Working rule for evaluation of a definite integral as a limit of a sun
7.4 Fundamental theorem of integrated calculus
7.5 Properties of definite integrals
7.6 Evaluation of definite integral
7.7 Reduction formulas

Chapter 8

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