MCQ
$\int {(\sqrt {\tan x} + \sqrt {\cot x} )} $ મેળવો.
- A$sin^{-1} (sinx -cosx) + C$
- B$\sqrt 2 \,sin^{-1} (sinx -cosx) + C$
- C$\sqrt 2 cos^{-1} (sinx -cosx) + C$
- Dએકપણ નહીં.
$\int \frac{(\sin x+\cos x) d x}{\sqrt{\sin x \cos x}}$
$\sqrt{2} \int \frac{(\sin x+\cos x) d x}{\sqrt{1-(1-\sin 2 x)}}$
$\sqrt{2} \int \frac{(\sin x+\cos x) d x}{\sqrt{1-(\sin x-\cos x)^{2}}}$
$\sqrt{2} \sin ^{-1}(\sin x-\cos x)+c$
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વિધાન $1$:$f'\left( 4 \right) = 0$
વિધાન $2$: $ f $ એ $ [2,5] $ માં સતત છે, $ f $ એ $ (2,5) $ માં વિકલનીય છે તથા $f(2)=f(5).$