Find: dx 3 - 2x - x^ 2 - Vidyadip

Question

Find:
$\int \frac{\text{dx}}{\sqrt{3 - \text{2x - x}^{2}}}$

✓

Answer

$\text{I} = \int \frac{\text{dx}}{\sqrt{(2)^{2} - \text{(x + 1)}^{2}}}$
$= \sin^{-1} \bigg(\frac{\text{x + 1}}{2}\bigg) + \text{c}$

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