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Use the trigonometric substitution u = a tan θ, where 0 < θ < π/2 and to simplify the expression .
Interest Rate
The proportion of the main amount that is charged by the creditor for borrowing their money, or the interest earned on funds that are deposited.
Payments
Transactions involving the transfer of money from one party to another as a form of compensation for goods, services, or obligations.
Future Value
The projected value of an investment or an asset at a specific date in the future, taking into account factors like interest rates or returns.
Interest Rate
An interest rate is the percentage charged on the total amount of borrowed money, or paid on deposited funds, over a specific period of time.
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