Does This Integral $\int _ { 1 } ^ { \sqrt { \mathrm { e } } } \frac { \cos \left( \ln x ^ { 2 } \right) } { x }$

question 27

True/False

Does this integral $\int _ { 1 } ^ { \sqrt { \mathrm { e } } } \frac { \cos \left( \ln x ^ { 2 } \right) } { x }$ dx = $\frac { 1 } { 2 }$ sin(1)?

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Definitions:

Basic Questions

Basic Questions in economics typically refer to the fundamental queries about what to produce, how to produce, and for whom to produce, guiding allocation of resources.

Market Failure

A scenario where the distribution of goods and services through a free market fails to achieve efficiency, typically resulting in a decrease in overall social welfare.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be used by everyone without diminishing availability to others, such as public parks and street lighting.

Price Mechanism

The system by which the prices of goods and services are determined in a free market, through the forces of supply and demand.