Evaluate the indefinite integral as an infinite series. 
Definitions:
Reed Bank
A submerged reef in the South China Sea, known for its disputed territorial claims and rich natural resources.
Repossession
The process by which a creditor takes back property or goods from the borrower due to failure to make scheduled payments.
Defaulted
Refers to failing to fulfill a legal obligation, especially failure to pay a debt or appear in court as required.
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