Let [ ⋅] denote the greatest integer function. If the domain of the functionf(x)=sin^(-1)((x+[x])
6th April Shift 1, JEE MAIN 2026 I.T.F. Domain of I.T.F. Let [ ⋅] denote the greatest integer function. If the domain of the functionf(x)=sin^(-1)((x+[x])/3) is [α,β), then α^2+β^2 is equal to: (A) 2 (B) 5 (C) 10 (D) 13 [Answer → B ]
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![Let [.] denoted greatest integer function|| ∫_{-π/2}^{π/2} 12(3+[x])/(3+[sin x]+[cos x])dx || PYQ](https://i.ytimg.com/vi/gwMuI1yrlss/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLC1ozAhntfSqQorPzr5opuUR0p7Mw)
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Let [.] denoted greatest integer function|| ∫_{-π/2}^{π/2} 12(3+[x])/(3+[sin x]+[cos x])dx || PYQ
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