Find the Given Integral $$\int \frac { 2 \tan ^ { - 1 } 2 x } { 1 + 4 x ^ { 2 } } d x$$

question 4

Short Answer

Find the given integral. $$\int \frac { 2 \tan ^ { - 1 } 2 x } { 1 + 4 x ^ { 2 } } d x$$

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Definitions:

Plasma Ph

The measure of acidity or alkalinity of the plasma, a component of blood.

Ventilation-Perfusion Coupling

The coordination between the flow of air into the lungs (ventilation) and the blood flow in the pulmonary capillaries (perfusion), crucial for efficient gas exchange.

Hering-Breuer Reflex

A physiological reflex that helps regulate the depth of breathing and prevents the overinflation of the lungs by signaling the respiratory center to inhibit inhalation.

Breathing

The physiological process of inhaling oxygen from the air into the lungs and exhaling carbon dioxide out, essential for life.