Difference between incomplete moment, weighted moment and moment generating function? Why we find these?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Difference between incomplete moment, weighted moment and moment generating function? Why we find these?
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