Find the indefinite integral of the following function and check the result by differentiation. 
Definitions:
Hammond Postulate
A principle stating that the transition state of a chemical reaction resembles the structure of the closest stable species.
Free Radical Bromination
A chemical reaction process involving the substitution of hydrogen atoms in organic molecules with bromine atoms, initiated by free radicals.
Free Radical Chlorinations
A reaction involving the substitution of hydrogen by chlorine in a hydrocarbon through the action of free radicals.
Hammond Postulate
A principle in organic chemistry that proposes the structure of a transition state is more similar to the structure of the reactants or products to which it is more similar in energy.
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