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If int(0)^(k)(dx)/(2+18x^(2))=(pi)/(24),...

If `int_(0)^(k)(dx)/(2+18x^(2))=(pi)/(24)`, then the value of k is

A

3

B

4

C

`(1)/(3)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If int_(0) ^(k) (dx)/(2+18 x^(2))=(pi)/(24), then the value of k is

    A
    `3`
    B
    `4`
    C
    `(1)/(3)`
    D
    `(1)/(4)`

  • If int_(0)^(a)sqrt((a-x)/(x))dx=(K)/(2), then K=. . .

    A
    `(pia)/(2)`
    B
    `(5pia)/(2)`
    C
    `(3pia)/(2)`
    D
    `pia`

  • If int_(-1)^(3//2)|xsinpix|dx = (k)/(pi^(2)) , then the value of k is :

    A
    `3pi+1`
    B
    `2pi+1`
    C
    `1`
    D
    `4`

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