Calculate the Iterated Integral $\int _ { 0 } ^ { 2 } \left( \int _ { 0 } ^ { x } ( x + 2 y ) d y \right)$

question 53

Short Answer

Calculate the iterated integral $\int _ { 0 } ^ { 2 } \left( \int _ { 0 } ^ { x } ( x + 2 y ) d y \right)$ dx.
Enter just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

Tax Structure

Specifies how a tax depends on the tax base; usually expressed in percentage terms.

Tax Base

The measure or value, such as income or property value, that determines how much tax an individual pays.

Taxation

The process whereby authorities impose financial charges on citizens or corporations to fund government spending and public expenditures.

Progressive

In the context of tax policy, a tax system where the tax rate increases as the taxable amount increases, leading to a more significant tax burden on higher-income individuals.