MCQ
$\int {(\sqrt {\tan x} + \sqrt {\cot x} )} $ is equal to-
- A$sin^{-1} (sinx -cosx) + C$
- ✓$\sqrt 2 \,sin^{-1} (sinx -cosx) + C$
- C$\sqrt 2 cos^{-1} (sinx -cosx) + C$
- Dnone of these
$\int \frac{(\sin x+\cos x) d x}{\sqrt{\sin x \cos x}}$
$\sqrt{2} \int \frac{(\sin x+\cos x) d x}{\sqrt{1-(1-\sin 2 x)}}$
$\sqrt{2} \int \frac{(\sin x+\cos x) d x}{\sqrt{1-(\sin x-\cos x)^{2}}}$
$\sqrt{2} \sin ^{-1}(\sin x-\cos x)+c$
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