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intcos(2cot^(-1)sqrt((1-x)/(1+x)))dx=...

`intcos(2cot^(-1)sqrt((1-x)/(1+x)))dx=`

A

`(1)/(2)+(x^2)/(4)+c`

B

`(1)/(2)-(x^2)/(4)+c`

C

`(1)/(2)+(x^2)/(2)+c`

D

`(1)/(2)-(x^2)/(2)+c`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • intcos{2tan^(-1)sqrt((1-x)/(1+x))}dx is equal to

    A
    `(1)/(8)(x^(2)-1)+C`
    B
    `(x^(2))/(4)+C`
    C
    `(x)/(2)+C`
    D
    `(x^(2))/(2)+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)`

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

    A
    `1/2x^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`

    • Similar Questions

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