Find $\int e^{-t / 4} \sin 4 t d t$
A)

question 91

Multiple Choice

Find $\int e^{-t / 4} \sin 4 t d t$ .

• A) \(-\frac{16}{257} e^{-t / 4}\left(\frac{1}{4} \sin 4 t+4 \cos 4 t\right)+C\)
• B) \(\frac{16}{257} e^{-t / 4}\left(\frac{1}{4} \sin 4 t-4 \cos 4 t\right)+C\)
• C) \(-\frac{1}{32} e^{-t / 4}\left(\frac{1}{4} \sin 4 t+4 \cos 4 t\right)+C\)
• D) \(\frac{1}{32} e^{-t / 4}\left(\frac{1}{4} \sin 4 t-4 \cos 4 t\right)+C\)

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Definitions:

Metabolic Disorder

A genetic condition that results in metabolism problems, potentially affecting the body's ability to convert food into energy.

Lipids

A broad group of naturally occurring molecules that include fats, waxes, sterols, fat-soluble vitamins, and other related compounds, essential for various biological functions.

Cellular Respiration

This is a metabolic process in cells where chemical energy from oxygen molecules and nutrients is converted into adenosine triphosphate (ATP), and waste products are released.

Mitochondrion

The singular form of mitochondria, referring to a single organelle within eukaryotic cells that generates most of the cell's supply of ATP.