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If int0^(pi/2) (d theta)/(9 sin^(2) thet...

If `int_0^(pi/2) (d theta)/(9 sin^(2) theta + 4 cos^(2) theta) = k pi`, then k =

A

`1/12`

B

44531

C

44409

D

44256

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • int_0^(pi/2) (cos theta)/(sqrt(4-sin^(2) theta) )d theta =

    A
    `pi/2`
    B
    `pi/6`
    C
    `pi/3`
    D
    `pi/4`

  • int_(-pi/2)^(pi/2) cos theta (1+ sin theta)^(2) d theta =

    A
    -8/3
    B
    8/3
    C
    -8/5
    D
    - 5/8

  • int_0^(1) (theta sin theta)/(1+ cos^(2) theta) d theta =

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

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