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# Definite Integral as the Limit of a sum

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Calculus
Integral Calculus(IX)
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 9).

Evaluate the definite integral
&#8747; sin nxdx, where the lower limit is 0 and the upper limit is a,
i.e., integral of sin nx, where the lower limit is 0 and the upper limit is a.
as limit of a sum.

See the attached file.

https://brainmass.com/math/integrals/definite-integral-as-the-limit-of-a-sum-42264

#### Solution Preview

Calculus
Integral Calculus(IX)
Definite Integral as the Limit of a sum
Method of Summation
...

#### 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
&#8747; sin nxdx, where the lower limit is 0 and the upper limit is a,
i.e., integral of sin nx, where the lower limit is 0 and the upper limit is a
as limit of a sum.
Solution contains detailed step-by-step explanation.

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