Find the integral using an appropriate trigonometric substitution. 
Definitions:
Blood Plasma
The liquid component of blood that carries cells and proteins throughout the body.
Chemical Equilibrium
A state in a chemical reaction where the rates of the forward and reverse reactions are equal, leading to constant concentrations of products and reactants.
Competing Reactions
Chemical reactions that proceed simultaneously from the same reactants to form different products, often influencing the yield and rates of each other.
Reverse Reaction
A chemical reaction that occurs in the opposite direction of the forward reaction, converting the products back into the original reactants under certain conditions.
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