Evaluate Exactly $\int_{0}^{\sqrt{2} / 2} \frac{d x}{\sqrt{1-x^{2}}}$

question 63

Essay

Evaluate exactly: $\int_{0}^{\sqrt{2} / 2} \frac{d x}{\sqrt{1-x^{2}}}$ .

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Definitions:

Hedged Delivery

A strategy used in trading and finance to minimize risk by taking compensating positions in related securities or commodities.

Futures Contracts

Legal agreements to buy or sell a particular commodity or financial instrument at a predetermined price at a specified time in the future.

Profit (Loss)

Profit or loss refers to the financial result that is calculated by subtracting total expenses from total revenues, with profit indicating a positive result and loss indicating a negative result.

Silver

A precious metal with high electrical and thermal conductivity, used in jewelry, silverware, and industrial applications.