$\int \frac{1}{\sqrt{5-x^2}} \, dx = ?$ $\sin^{-1} \frac{x}{\sqrt{5}} + c$ $\frac{1}{\sqrt{5}} \sin^{-1} \frac{x}{\sqrt{5}} + c$ $\tan^{-1} \frac{x}{\sqrt{5}} + c$ $\frac{1}{\sqrt{5}} \tan^{-1} \frac{x}{\sqrt{5}} + c$

ID#6899 HSC Higher Math 1st MCQ (Rajshahi 2023)

$\int \frac{1}{\sqrt{5-x^2}} \, dx = ?$

ক) $\sin^{-1} \frac{x}{\sqrt{5}} + c$

খ) $\frac{1}{\sqrt{5}} \sin^{-1} \frac{x}{\sqrt{5}} + c$

গ) $\tan^{-1} \frac{x}{\sqrt{5}} + c$

ঘ) $\frac{1}{\sqrt{5}} \tan^{-1} \frac{x}{\sqrt{5}} + c$

ক

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