Find the Integral $$\int e ^ { 2 x } \sin 5 x d x$$

question 15

Multiple Choice

Find the integral.
$$\int e ^ { 2 x } \sin 5 x d x$$

• A) \(\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 5 \cos 5 x ) + C\)
• B) \(\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 5 \cos 2 x ) + C\)
• C) \(\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 2 \cos 5 x ) + C\)
• D) \(\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 2 \cos 5 x ) + C\).

---

Definitions:

Outdoor Movie

An event where films are shown outside, often in a public space, allowing for a communal viewing experience in a non-traditional venue.

Emergent Norm Theory

A sociological perspective that suggests norms or instructions are established through group consensus in situations where traditional norms are not applicable.

Stanley Cup Riot

Refers to public disturbances and violence that erupted in connection with the Stanley Cup hockey championship, particularly notable occurrences following game outcomes, displaying extreme fan behavior.

Collective Mind

A concept referring to the shared beliefs, practices, and cognitive processes within a group or society that influence individual and collective behavior.