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sqrt(x+(1)/(x))...

`sqrt(x+(1)/(x))`

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`((x^(2)-1)sqrt(x))/(2x^(2)sqrt(x^(2)+1))`
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Similar Questions

Explore conceptually related problems

int_( then )^( If )sqrt((1-x)/(1+x))(dx)/(x)=log((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))+2f(x)+C

(1)/(sqrt(x))(sqrt(x)-(1)/(sqrt(x)))^(3)

Knowledge Check

  • If (x + sqrt ( x ^(2) -1))/( x - sqrt (x ^(2) -1)) + (x- sqrt (x ^(2) - 1))/( x + sqrt (x ^(2) -1 ))= 62 then what is the value of x ( c lt 0) ?

    A
    `-4`
    B
    7
    C
    9
    D
    11

  • Domain of the function (sqrt(1+x)-sqrt(1-x))/(x ) is

    A
    `(-1,1)`
    B
    `(-1,1)- {0}`
    C
    `[-1,1]`
    D
    `[-1,1]-{0}`

    • Similar Questions

    Explore conceptually related problems

    Evaluate : lim_( x -> 1 ) ( sqrt(x) - 1 + sqrt( x -1 ) )/( sqrt( x^2 -1 ))

    Solve x sqrt(x)(sqrt(x)+(1)/(sqrt(x)))

    sqrt(x)-sqrt(1-x)=(1)/(5) and sqrt(x)+sqrt(1-x)=(7a)/(5) then the value of a is :

    y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

    If y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

    Simplify (x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))+(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))

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