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Q.

2 sin-1x+sin-12x1-x2+3 cos-1x-cos-14x3-3x

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a

-π, when x∈-1,12

b

4sin-1x, when x∈-1,1

c

-π, when x∈-12,12

d

4sin-1x+2cos-14x3-3x, x∈12,1

answer is B.

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Detailed Solution

=2 sin-1x+sin-12x1-x2+3 cos-1x-cos-14x3-3x    ;    x∈-1,-12  =2sin-1x+π-2sin-1x+3cos-1-2π-3cos-1x =-π

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