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int\ cos[2cot^(- 1)sqrt((a-x)/(a+x))]dx...

`int\ cos[2cot^(- 1)sqrt((a-x)/(a+x))]dx`

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int cos (2 cot^(-1)sqrt((1-x)/(1+x)))dx

int cos^(-1)sqrt((x)/(a+x))dx

Knowledge Check

  • int cos[2 cot^(-1) sqrt((1-x)/(1+x))] dx =

    A
    `1/2 x^(2)`
    B
    `1/2 sin [2 cot^(-1)sqrt((1-x)/(1+x))]`
    C
    `-1/2 x^(2)`
    D
    minus 1/2 x + c

  • int cos [2 cot ^(-1) sqrt ((1 -x )/( 1 + x ))] dx is equal to:

    A
    `1/2 x ^(2) + c`
    B
    `1/2 sin [ 2 cot ^(-1) sqrt ((1-x )/( 1 + x ))] + c`
    C
    `-1/2 x ^(2) + c`
    D
    `-1/2 x + c`

  • If I=int_(0)^(1) cos{ 2 "cot"^(-1)sqrt((1-x)/(1+x))}dx then

    A
    `Igt(1)/(2)`
    B
    `I=-(1)/(2)`
    C
    `0lt I lt (1)/(2)`
    D
    `I=(1)/(2)`

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