Find: dx 5 - 8x - x^ 2

Question

Find:
$\int\frac{\text{dx}}{5 - \text{8x - x}^{2}}$

✓

Answer

$\int\frac{\text{dx}}{5 - \text{8x - x}^{2}} = \int\frac{\text{dx}}{(\sqrt{21)^{2} - (\text{x + 4)}^{2}}}$
$= \frac{1}{2\sqrt{21}} \log \bigg|\frac{\sqrt{21} + \text{(x + 4)}}{\sqrt{21} - \text{(x + 4)}}\bigg| + \text{c}$

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