# Integration as the limit of a sum

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Integration as the limit of a sum (I)

Find by the method of summation the value of:-

1 1

(a) â?« x3 dx (b) â?« (ax + b) dx

0 0

that is,

Find the integral by the method of summation the values of :-

(a) integral of x3 where the range of integration is from 0 to 1.

(b) integral of (ax + b) where the range of integration is from 0 to 1.

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##### Solution Summary

This solution is comprised of a detailed explanation for finding the integral by the method of summation the values.

It contains step-by-step explanation for finding the integral by the method of summation the values of :-

(a) integral of x3 where the range of integration is from 0 to 1.

(b) integral of (ax + b) where the range of integration is from 0 to 1.

Solution contains detailed step-by-step explanation.

###### Education

- BSc, Manipur University
- MSc, Kanpur University

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