Evaluate the Integral $\int y ^ { 2 } \sin 4 y d y$

question 66

Multiple Choice

Evaluate the integral.
- $\int y ^ { 2 } \sin 4 y d y$

• A) \(- \frac { 1 } { 4 } y ^ { 2 } \sin 4 y + \frac { 1 } { 8 } y \cos 4 y + \frac { 1 } { 32 } \sin 4 y + C\)
• B) \(- \frac { 1 } { 4 } y ^ { 2 } \cos 4 y + \frac { 1 } { 8 } y \sin 4 y + \frac { 1 } { 32 } \cos 4 y + C\)
• C) \(\frac { 1 } { 4 } y ^ { 2 } \cos 4 y - \frac { 1 } { 8 } y \sin 4 y - \frac { 1 } { 32 } \cos 4 y + C\)
• D) \(- \frac { 1 } { 4 } y ^ { 2 } \cos 4 y + \frac { 1 } { 2 } y \sin 4 y + \frac { 1 } { 2 } \cos 4 y + C\)

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Definitions:

Translation

Translation is a biological process by which messenger RNA is decoded by a ribosome to produce a specific amino acid chain, or polypeptide, that will fold into an active protein.

mRNA

Messenger ribonucleic acid, a type of RNA that conveys genetic information from DNA to the ribosome, where they specify the amino acid sequence of the protein products of gene expression.

Ribosome

A ribosome is a cellular organelle that synthesizes proteins by translating messenger RNA into amino acid sequences.

Anticodon

Three-base sequence in a transfer RNA molecule base that pairs with a complementary codon in mRNA.