Find the Integral Using the Indicated Substitution $$\int \tan ^ { 5 } x \sec ^ { 2 } x d x , \quad u = \tan x$$

question 140

Short Answer

Find the integral using the indicated substitution.
$$\int \tan ^ { 5 } x \sec ^ { 2 } x d x , \quad u = \tan x$$

Recognize the roles and responsibilities of trade unions in countries like China and the influence of political and economic frameworks on these roles.

Identify and differentiate between types of unions (e.g., industry, general, political, craft) and their traditional roles in countries like Australia.

Understand the legal and voluntary aspects of labor relations in countries like New Zealand and how they impact employer and employee obligations.

Analyze the effects of political ideology on labor relations, such as Stalinist unionism in the Soviet Union and its outcomes.

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Definitions:

Gambler's Fallacy

The erroneous belief that if a particular event occurs more frequently than normal during the past, it is less likely to happen in the future, or vice versa, in situations that are truly random.

Ignoring Base Rates

Ignoring base rates is a cognitive bias that involves disregarding or underestimating general information (base rates) in favor of specific individual information when making decisions or judgments.

Availability Bias

A cognitive bias that causes people to overestimate the likelihood of events based on their availability in memory, often leading to skewed decision-making.

Belief Perseverance

The tendency to cling to one's initial belief even after receiving new information that contradicts or disconfirms the basis of that belief.