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If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt...

If `f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)}`then

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  • f(x)=sin^(-1){sqrt3/2x-1/2sqrt(1-x^(2))},-1/2lexle1 then f(x) = _____

    A
    `"sin"^(-1)1/2-"sin^(-1)x`
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    A
    `1/2`
    B
    `sqrt3/2`
    C
    1
    D
    `=0`

  • f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

    A
    Increasing in `(0,oo)` and decreasing `(-oo,0)`
    B
    Decreasing in `(0,oo)` and increasing in `(-oo, 0)`
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