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Description of Definite Integral as the Limit of a Sum

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Calculus
Integral Calculus(III)
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 or by evaluating the integral as limit of a sum (part 3).

Find by the method of summation the value of:

∫ sin xdx, where the lower limit is 0 and the upper limit is (1/2)π,

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

See the attached file.

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This solution shows how to find the value of the definite integral by using the method of summation in an attached Word document.

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