Evaluate the Integral by Making an Appropriate Change of Variables $$\iint _ { z } \frac { 2 x - 3 y } { 5 x + 2 y } d A$$

question 26

Short Answer

Evaluate the integral by making an appropriate change of variables. Round your answer to two decimal places.
$$\iint _ { z } \frac { 2 x - 3 y } { 5 x + 2 y } d A$$
$R$ is the parallelogram bounded by the lines
$$2 x - 3 y = - 5,2 x - 3 y = - 2,5 x + 2 y = - 5,5 x + 2 y = - 3 \text {. }$$

---

Definitions:

Cyberbullying

Bullying that occurs when one person spreads insults or rumors about another by means of social media posts, e-mails, text messages, or cell phone videos.

Electronic Harassment

The use of electronic devices to stalk, bully, or otherwise harass an individual or group.

Text Messages

Written messages sent electronically, typically through mobile phones, using Short Message Service (SMS) or similar technology.

Brand-Name Clothes

Clothing that is made and marketed by well-known manufacturers and carries a label or logo distinguishing the brand.