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if int dx/(4 + 5sin^(2)x)=1/k tan^(-1)(3...

`if int dx/(4 + 5sin^(2)x)=1/k tan^(-1)(3/2tanx)+c,` then the value of k is -

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Knowledge Check

  • 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)`

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

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

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

    A
    ` (1-x^(2))/(1+x^(2))`
    B
    `(2x)/(1-x^(2))`
    C
    `(2x)/(1+x^(2))`
    D
    `(2x^(2))/(1+x^(2))`

    • Similar Questions

    Explore conceptually related problems

    If int (dx)/((2x-7) sqrt((x-3) (x-4))) = 1/k sec^(-1) (2x-7)+ c , then the value of k is -

    If (d)/(dx)(tan^(-1)x)^(2)=k tan^(-1)x*(1)/(1+x^(2)) , then the value of k is -

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

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