Evaluate the Integral $$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 6 } x d x$$

question 107

Multiple Choice

Evaluate the integral. Select the correct answer.
$$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 6 } x d x$$

• A) \(\frac { 3 } { 16 } \pi\)
• B) \(\frac { 5 } { 32 } \pi\)
• C) \(\frac { 3 } { 32 } \pi\)
• D) \(\frac { 5 } { 16 } \pi\)

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Definitions:

ATP Synthase

ATP Synthase is an enzyme complex found in the mitochondria and chloroplasts that synthesizes ATP from ADP and inorganic phosphate during cellular respiration and photosynthesis.

Chemiosmotic Mechanism

A process by which ATP is produced in the mitochondria and chloroplasts via the movement of protons across a membrane.

Inner Membrane

The membrane located within an organelle, such as the inner membrane of mitochondria, involved in processes like ATP synthesis.

ATP Per Molecule

A reference to the amount of adenosine triphosphate produced or consumed by a biochemical reaction per molecule involved.