Evaluate the Integral $$\int _ { x / 6 } ^ { \pi / 3 } \frac { 3 \ln ( \tan x ) } { 7 \sin x \cos x } d x$$

question 105

Multiple Choice

Evaluate the integral.
$$\int _ { x / 6 } ^ { \pi / 3 } \frac { 3 \ln ( \tan x ) } { 7 \sin x \cos x } d x$$

• A) \(- \frac { 1 } { 5 } ( \ln 2 ) ^ { 2 }\)
• B) \(- \frac { 1 } { 2 } ( \ln 3 ) ^ { 2 }\)
• C) 0
• D) \(\frac { 1 } { 6 } ( \ln 3 ) ^ { 2 }\)
• E) \(\frac { 1 } { 2 } ( \ln 3 ) ^ { 2 }\)

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Definitions:

[HCO3-]

The chemical notation for bicarbonate, an anion that acts as a buffer in maintaining acid-base balance in biological systems.

pH

A scale used to specify the acidity or basicity of an aqueous solution, ranging from 0 (most acidic) to 14 (most basic) with 7 being neutral.

Unjust Dismissal

Termination of employment that is unfair, wrongful, or without a valid reason.

Wrongful Discharge

The unjust termination of an employee in violation of legal or contractual provisions.