Calculate the Iterated Integral $\int _ { 1 } ^ { 2 } \int _ { 0 } ^ { n / 2 } y \sin ( x y ) d y d x$

question 80

Short Answer

Calculate the iterated integral $\int _ { 1 } ^ { 2 } \int _ { 0 } ^ { n / 2 } y \sin ( x y ) d y d x$ .

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Definitions:

Total Amount

The sum of all quantities or values in a given context.

Utility Function

A mathematical representation that shows the relationship between an individual's satisfaction and their consumption of different goods and services.

Private Consumptions

Refers to the spending on goods and services by individuals or households rather than by the government or businesses.

Total Amount

The entire sum or quantity of something, often referring to a final total in financial contexts.