Evaluate the Integral $$\int _ { 0 } ^ { \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { \pi } \sin ( 9 \mathrm { u } + 4 ) \mathrm { dudv } \mathrm { dw }$$

question 314

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { \pi } \int _ { 0 } ^ { \pi } \int _ { 0 } ^ { \pi } \sin ( 9 \mathrm { u } + 4 ) \mathrm { dudv } \mathrm { dw }$$

• A) \(\frac { 1 } { 9 } \pi ^ { 2 } \cos 4\)
• B) \(\frac { 2 } { 9 } \pi ^ { 2 } \cos 4\)
• C) \(\frac { 1 } { 9 } \pi \cos 4\)
• D) \(\frac { 2 } { 9 } \pi \cos 4\)

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Definitions:

Steroids

A class of lipid molecules that includes hormones, vitamins, and cholesterol, which serve various functions in organisms.

Phospholipids

A class of lipids that are a major component of all cell membranes, containing two fatty acids, a phosphate group, and a glycerol molecule.

Polymer

Macromolecule consisting of covalently bonded monomers; for example, a polypeptide is a polymer of monomers called amino acids.

Monomers

Small molecules that can join together to form polymers, serving as the building blocks for various macromolecules.