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Let k(x) = ((x^(2)+1))/(root(3)(x^(3)+3x...

Let `k(x) = ((x^(2)+1))/(root(3)(x^(3)+3x+6) dx` and k(-1) = 1/root (3)(2))` then the value of k(-2) is

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"Let " k(x)=int((x^(2)+1)dx)/(root(3)(x^(3)+3x+6)) " and " k(-1)=(1)/(root(3)(2)). " Then the value of " k(-2) " is "-.

Let k(x)=int((x^(2)+1)dx)/((x^(3)+3x+6)^((1)/(3))) andk (-1)=(1)/(2^((1)/(3))) Then the value of k(-2) is

Knowledge Check

  • If int(dx)/(x^(3)(x-1)^(1//2))=(sqrt(x-1)(3x+2))/(4x^(2)) + K tan^(-1)sqrt(x + 1) + C then the value of K is

    A
    `1//2`
    B
    1
    C
    `1//4`
    D
    `3//4`

  • If (1 - k) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5)) = 1 - k^(6) , where k ne 1 then the value of (k)/(x) is

    A
    2
    B
    4
    C
    `1//2`
    D
    `1//4`

  • If lim_(x rarr 1) (x^(4)-1)/(x -1) = lim_(x rarr k) (x^(3)-k^(3))/(x^(2)-k^(2)) then the value of k is

    A
    `(-8)/(3)`
    B
    `(5)/(3)`
    C
    `-(5)/(3)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Let k(x)=int((x^(2)+1)/((x^(3)+3x+6)^((1)/(3)))dx and k(-1)=(1)/(2^((1)/(3))), the value of k(-2) is

    If a,a+1 are roots of x^(2)+3x+2k=0 then the value of k is

    If int_(0)^(1)(3x^(2)+2x+k)dx=0, find the value of k.

    If int_(0)^(1)(3x^(2)+2x+k)dx=0, find the value of k.

    Let lim_(x rarr1)(x^(4)-1)/(x-1)=lim_(k rarr k)(x^(3)-k^(3))/(x^(2)-k^(2)) then value of k is

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