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

question 69

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:

Chi-Squared Goodness-Of-Fit Test

A statistical test used to determine if a sample data matches a population with a specific distribution.

More Than Two Categories

A situation or variable that can take on more than two distinct values or classifications.

Reaction Speed

The rate at which a chemical reaction proceeds, often measured in terms of concentration change per unit time.

Personal Construct Theory

A psychological theory developed by George Kelly, proposing that individuals use personal constructs (bipolar mental templates) to understand and interpret events and relationships in their life.