Set Up an Integral for Both Orders of Integration, and Use

question 48

Multiple Choice

Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.
$\iint _ { R } \frac { y } { x ^ { 2 } + y ^ { 2 } } d A$
$R$ : triangle bounded by $y = 2 x , y = 6 x$ , and $x = 5$

• A) \(5 ( \log ( 37 ) - \log ( 5 ) )\)
• B) \(\frac { 2 } { 5 } ( \log ( 37 ) - \log ( 5 ) )\)
• C) \(\frac { 5 } { 2 } ( \log ( 37 ) - \log ( 5 ) )\)
• D) \(\frac { 5 } { 2 } ( \log ( 5 ) - \log ( 37 ) )\)
• E) \(\frac { 1 } { 3 } ( \log ( 37 ) - \log ( 5 ) )\)

---

Definitions:

Deviance

Deviance refers to behaviors or actions that violate social norms or values in a given society.

Determined Behavior

Behavior that is seen as controlled or dictated by internal or external factors, leaving little to no choice for the individual.

Observable Object

An object or phenomenon that can be perceived or noticed through the senses or scientific instruments.

Deviance

Behaviors or actions that violate social norms and expectations, which can range from minor to serious transgressions.