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

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Definitions:

Olfactory Epithelium

A mucous membrane at the top of the nasal cavity; contains the olfactory receptor neurons that respond to airborne molecules called odorants.

Glomeruli

Sites in the brain’s olfactory bulb where signals from the smell receptors converge.

Odorant Sites

Locations on olfactory receptors where odorant molecules bind, initiating the process of smell perception.

C-Fibers

C-fibers are slow-conducting nerve fibers that transmit thermal, mechanical, and chemical pain signals to the central nervous system.