Evaluate the Integral $$\int x ^ { 4 } e ^ { x ^ { 5 } } d x$$

question 63

Multiple Choice

Evaluate the integral. The integral may not require integration by parts.
- $$\int x ^ { 4 } e ^ { x ^ { 5 } } d x$$

• A) \(\frac { x ^ { 5 } } { 5 } e ^ { x ^ { 5 } } + C\)
• B) \(5 e ^ { x ^ { 5 } } + C\)
• C) \(\frac { 1 } { 5 } e ^ { x ^ { 5 } } + C\)
• D) \(\frac { 1 } { 4 } e ^ { x ^ { 4 } } + C\)

---

Definitions:

Sarcophagus

A stone coffin, typically adorned with sculptures and inscriptions, used primarily in ancient civilizations for burying the dead.

Etruscan Women

Refers to women from the ancient Etruscan civilization, known for their independence and relatively high status in society compared to their contemporaries.

Greco-Roman Authors

Writers and thinkers from the ancient Greek and Roman worlds, whose works have significantly influenced Western culture and intellectual thought.

Painted Terracotta

Clay-based ceramic that is shaped, dried, and then painted before being fired in a kiln.