Is independent of when

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

sin⁡−1(4xx2+4)+2tan⁡−1(−x2)\sin^{-1}\left(\frac{4x}{x^2+4}\right)+2\tan^{-1}\left(-\frac{x}{2}\right) is independent of xx when (1) x∈[−3,4]x\in[-3,4] (2) x∈[−2,2]x\in[-2,2] (3) x∈[−1,1]x\in[-1,1] (4) x∈[1,∞)x\in[1,\infty)

Related theory

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