Evaluate the Integral Using the Given Substitution $$\int \csc ^ { 2 } 9 \theta \cot 9 \theta d \theta , \quad u = \cot 9 \theta$$

question 280

Multiple Choice

Evaluate the integral using the given substitution.
- $$\int \csc ^ { 2 } 9 \theta \cot 9 \theta d \theta , \quad u = \cot 9 \theta$$

• A) \(- \frac { 1 } { 18 } \tan ^ { 2 } 9 \theta + C\)
• B) \(- \frac { 1 } { 18 } \cot ^ { 2 } 9 \theta + C\)
• C) \(\frac { 1 } { 18 } \cot ^ { 2 } \theta + C\)
• D) \(\frac { 1 } { 6 } \csc ^ { 3 } 9 \theta \cot ^ { 2 } 9 \theta + C\)

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Definitions:

Calvin Cycle Reactions

A series of biochemical redox reactions that take place in the stroma of chloroplasts in photosynthetic organisms. It is a critical part of the process of carbon fixation, converting carbon dioxide into glucose.

Stroma

The supportive tissue of an epithelial organ, tumor, gonad, etc., consisting of connective tissues and blood vessels.

ATP Synthase

Complex of proteins in the cristae of mitochondria and thylakoid membrane of chloroplasts that produces ATP from the diffusion of hydrogen ions across a membrane.

Coenzyme

Nonprotein organic molecule that aids the action of the enzyme to which it is loosely bound.