If \( \int \frac{d x}{\cos ^{3} x \sqrt{\sin 2 x}} \) \( \mathrm{P}...

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If \( \int \frac{d x}{\cos ^{3} x \sqrt{\sin 2 x}} \)
\( \mathrm{P}^{6} \)
W \( =\mathrm{a}\left(\tan ^{2} \mathrm{x}+\mathrm{b}\right) \sqrt{\tan x}+c \), then
(1) \( a=\frac{\sqrt{2}}{5}, b=\frac{1}{\sqrt{5}} \)
(2) \( a=\frac{\sqrt{2}}{5}, b=5 \)
(3) \( a=\frac{\sqrt{2}}{5}, b=-\frac{1}{\sqrt{5}} \)
(4) \( \mathrm{a}=\frac{\sqrt{2}}{5}, b=\sqrt{5} \)
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