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The range of \(f(x)=4 \sin ^{-1}\left(\frac{x^2}{x^2+1}\right)\) is [JEE Main 2023, 13 Apr (Shift 2)]

Q1

The range of \(f(x)=4 \sin ^{-1}\left(\frac{x^2}{x^2+1}\right)\) is

[JEE Main 2023, 13 Apr (Shift 2)]

a

\([0,\pi ]\)

b

\([1,2\pi )\)

c

\([0,\pi )\)

d

\([0,2\pi )\)

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