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The value of x gt 1 satisfying the equat...

The value of `x gt 1` satisfying the equation
`int_(1)^(x) tlnt dt=(1)/(4)` is

A

`sqrte`

B

`e^(3//2)`

C

`e^2`

D

`2e-1`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The set of value of x, satisfying the equation tan^(2)(sin^(-1)x) gt 1 is :

    A
    `(-1, 1)`
    B
    `(-(1)/(sqrt(2)), (1)/(sqrt(2)))`
    C
    `[-1, 1]-(-(1)/(sqrt(2)), (1)/(sqrt(2)))`
    D
    `(-1, 1)-[-(1)/(sqrt(2)), (1)/(sqrt(2))]`

  • The largest integral value of x satisfying the inequality (tan^(-1)(x))^(2)-4(tan^(-1)(x))+3gt0 is :

    A
    0
    B
    1
    C
    2
    D
    3

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