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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 "-.

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Knowledge Check

  • If int ((3^(1))/(x))/(x^(2)) "dx = k " (3^((1)/(x)))+c then the value of k is

    A
    log 3
    B
    `-log 3`
    C
    `-(1)/(log3)`
    D
    `-(1)/(log 3)`
  • if int (3^((1)/(x)))/(x^(2)) dx = k (3^((1)/(x))) + c , then the value of k is

    A
    log 3
    B
    ` - log 3 `
    C
    `-(1)/(log 3)`
    D
    `(1)/(log 3 )`
  • If int (3^(1/x))/(x^2) dx = k (3^(1/x)) + c , then the value of k is …………. .

    A
    `log 3`
    B
    `-log 3`
    C
    `-1/(log^3)`
    D
    `1/(log 3)`
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