Calculate the Double Integral $\iint _ { R } x \sin ( x + y ) d A , \quad R = \left[ 0 , \frac { \pi } { 4 } \right] \times \left[ 0 , \frac { \pi } { 6 } \right]$

question 123

Short Answer

Calculate the double integral. Round your answer to two decimal places. $\iint _ { R } x \sin ( x + y ) d A , \quad R = \left[ 0 , \frac { \pi } { 4 } \right] \times \left[ 0 , \frac { \pi } { 6 } \right]$

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Definitions:

Social Dominance Orientation

A scale that measures an individual’s preference for hierarchical relationships between social groups and the extent to which they support dominance and inequality among these groups.

Authoritarian Submission

A psychological behavior characterized by uncritical acceptance of authority, where individuals submit excessively to figures they perceive as authoritative.

Tolerance For Ambiguity

The ability or willingness of a person to accept and deal with uncertainty or unclear situations without becoming anxious or stressed.

Conventionalism

A belief in or support of ideas and behaviors that are traditional and widely accepted.