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The value of int(0)^((2)/( 3)) (dx)/( s...

The value of `int_(0)^((2)/( 3)) (dx)/( sqrt(4-9x^(2)))`is

A

`(pi)/(6)`

B

`(pi)/( 2)`

C

`(pi)/(4)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/( 6)`
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Knowledge Check

  • The value of int_(0)^(oo) e^(-3x) x^(2) dx is

    A
    `(7)/( 27)`
    B
    `( 5)/( 27)`
    C
    `( 4)/( 27)`
    D
    `( 2)/( 27)`

  • int_(0)^(1)(dx)/(sqrt(4-x^2))= .

    A
    `(pi)/(2)`
    B
    `(pi)/(4)`
    C
    `(pi)/(6)`
    D
    `(pi)/(3)`.

  • The value of int_0^(infty) e^(-3x) x^2 dx is

    A
    `7/27`
    B
    `5/27`
    C
    `4/27`
    D
    `2/27`

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