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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| | Number of cars manufactured | ||
| Colour | Vento | Creta | Wagonr |
| Red | 65 | 88 | 93 |
| White | 54 | 42 | 80 |
| Black | 66 | 52 | 88 |
| Sliver | 37 | 49 | 74 |