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The solution for x of the equation int(s...

The solution for x of the equation `int_(sqrt(2))^x(dt)/(tsqrt(t^2-1))=pi/2` is: (A) 2 (B) `pi` (C) `(sqrt3)/2` (D) `2sqrt(2)`

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Knowledge Check

  • The solution for x of the equation int_(sqrt(2))^(x)(1)/(tsqrt(t^(2)-1))dt=(pi)/(2) , is

    A
    `(sqrt(3))/(2)`
    B
    `2sqrt(2)`
    C
    `2`
    D
    `-sqrt(2)`

  • The solution for x of the equation int _(sqrt2) ^(x) (dt)/( tsqrt(t ^(2) -1))= (pi)/(12) is

    A
    2
    B
    `pi`
    C
    `sqrt3//2`
    D
    `2sqrt2`

  • The solution of the equation int_(sqrt2)^(4) (dx)/(xsqrt((x^2 - 1))) = pi/12 is

    A
    `2`
    B
    `sqrt(2)`
    C
    `2sqrt(3)`
    D
    `1`

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