# Definite the Integral as the limit of a sum

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Calculus

Integral Calculus(VII)

Definite Integral as the Limit of a sum

Method of Summation

Definite Integral

It is an explanation for finding the integral by the method of summation i.e., by evaluating

the integral as limit of a sum(part 7).

Evaluate the definite integral

∫ x^(1/2)dx, where the lower limit is 0 and the upper limit is 1,

i.e., integral of x^(1/2), where the lower limit is 0 and the upper limit is 1.

as limit of a sum.

See the attached file.

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##### Solution Summary

This solution is comprised of a detailed explanation for finding the value of the definite integral by

using the method of summation.

It contains step-by-step explanation for the following problem:

Evaluate the definite integral

∫ x^(1/2)dx, where the lower limit is 0 and the upper limit is 1,

i.e., integral of x^(1/2), where the lower limit is 0 and the upper limit is 1

as limit of a sum.

Solution contains detailed step-by-step explanation.

##### Solution Preview

Calculus

Integral Calculus(VII)

Definite Integral as the Limit of a sum

Method of Summation

...

###### Education

- BSc, Manipur University
- MSc, Kanpur University

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