Evaluate the Integral Using Integration by Parts with the Indicated $u$

question 37

Multiple Choice

Evaluate the integral using integration by parts with the indicated choices of $u$ and $d v$ .
$$\int 6 \theta \cos \theta d \theta , u = 6 \theta , d v = \cos \theta d \theta$$

• A) \(6 \sin \theta + 6 \cos \theta + C\)
• B) \(6 \theta \cos \theta + 6 \sin \theta + C\)
• C) \(6 \theta \sin \theta + 6 \cos \theta + C\)
• D) \(6 \sin \theta - 6 \cos \theta + C\)
• E) None of these

---

Definitions:

Illustrations

Artistic representations or diagrams intended to explain or decorate.

Sans Serif

A category of typefaces devoid of extending features called "serifs" at the ends of strokes, known for their clean, modern appearance.

Serif Type

refers to a category of font characterized by small lines or strokes attached to the ends of letters, often used for printed text.

Heavy Weight Card Stock

A thick, durable paper used for printing high-quality invitations, business cards, and other materials that require a more premium feel.