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$$
\int \frac{d x}{\sqrt{5+4 x-x^{2}}}=
$$
Options:
\int \frac{d x}{\sqrt{5+4 x-x^{2}}}=
$$
Solution:
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Verified Answer
The correct answer is:
$\sin ^{-1}\left(\frac{x-2}{3}\right)+c$
$I=\int \frac{d x}{\sqrt{9+\left(-4+4 x-x^{2}\right)}}=\int \frac{d x}{\sqrt{(3)^{2}-(x-2)^{2}}}=\sin ^{-1}\left(\frac{x-2}{3}\right)+c$
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