Evaluate the Integral $\int e ^ { t } \cot \left( e ^ { t } - 7 \right) d t$

question 193

Multiple Choice

Evaluate the integral.
- $\int e ^ { t } \cot \left( e ^ { t } - 7 \right) d t$

• A) \(\ln | \sin ( t - 7 ) | + C\)
• B) \(\ln \left| \cos \left( e ^ { t } - 7 \right) \right| + C\)
• C) \(\ln \left| \sin \left( e ^ { t } - 7 \right) \right| + C\)
• D) \(e ^ { t } \ln | \sin ( t - 7 ) | + C\)

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Definitions:

Guanine

One of the four main nucleobases found in DNA and RNA, it pairs with cytosine during DNA replication.

Hydrogen Bonds

Weak bonds formed between a hydrogen atom and a more electronegative atom, important in the structure of DNA and proteins.

Adenine

A nucleotide base present in DNA and RNA, pairing with thymine in DNA and uracil in RNA, and is one of the four nucleotide bases.

Thymine

A pyrimidine base found in DNA, pairing with adenine (A) through two hydrogen bonds to assist in stabilizing the nucleic acid structures.