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Find the Definite Integrals : int0^1 dx ...

Find the Definite Integrals : `int_0^1 dx /sqrt(4-x^2)`

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To solve the definite integral \( \int_0^1 \frac{dx}{\sqrt{4 - x^2}} \), we can use a known formula for integrals of the form \( \int \frac{dx}{\sqrt{a^2 - x^2}} \). ### Step-by-step Solution: 1. **Identify the formula**: The general formula for the integral is: \[ \int \frac{dx}{\sqrt{a^2 - x^2}} = \sin^{-1}\left(\frac{x}{a}\right) + C \] ...
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