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If int (dx)/(x^((1)/(2))+x^((1)/(3)))=(k...

If `int (dx)/(x^((1)/(2))+x^((1)/(3)))=(k)/(3) sqrt(x)-(k)/(2)x^((1)/(3))+kx^((1)/(6))-k log |x^((1)/(6))+1|+c`, then the value of k is-

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Knowledge Check

  • If int_(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2 , then the value of k is -

    A
    `(1)/(2)`
    B
    0
    C
    1
    D
    -1

  • If int (dx)/(x^(2)-a^(2))= k log |(x-a)/(x+a)|+c , then the value of k is-

    A
    `(1)/(a)`
    B
    `(1)/(2a)`
    C
    `2a`
    D
    none of these

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

    A
    a
    B
    `-a`
    C
    `(1)/(a)`
    D
    `-(1)/(a)`

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    If int tan^(-1)x dx=xtan^(-1)x+k log(1+x^(2))+C , then the value of k is-

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    If 2 tan ^(-1) x = sin ^(-1) k then the value of k is -

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