# Definite Integral as the Limit of a sum

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

∫ 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.

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#### 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

∫ 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.