Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

\(\int \frac{\cos x}{\sqrt{4-\sin^2 x}}dx\) equals

Options:

\(\sin^{-1}\left(x\right)+c\)

\(\sin^{-1}\left(\frac{\sin x}{2}\right)+C\)

\(\cos^{-1}\left(\frac{\sin x}{2}\right)+C\)

\(\cos^{-1}\left(\frac{\cos x}{2}\right)+C\)

Correct Answer:

\(\sin^{-1}\left(\frac{\sin x}{2}\right)+C\)

Explanation:

Put \(\sin x=t\)