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int sqrt(1+ sin (x/4) dx =...

`int sqrt(1+ sin (x/4)` dx =`

A

`8(sin (x/8) + cos (x/8) )+ c`

B

`8(sin (x/8) - cos (x/8) )+ c`

C

`8(cos (x/8) - sin (x/8) )+ c`

D

`1/8(sin (x/8) - cos (x/8))+ c`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • int sqrt(1+sin (x/2)) dx =

    A
    4 cos x/2 - 4 sin x/2
    B
    cos x/2 + sin x/2
    C
    4 cos x/4 + 4 sin x/4
    D
    - 4 cos x/4 + 4 sin x/4
  • int_0^(2pi) sqrt(1 + sin( x/2)) dx is :

    A
    8
    B
    4
    C
    2
    D
    0
  • int_0^(2pi) sqrt(1+sin(x/2) dx ) =

    A
    0
    B
    2
    C
    minus 8
    D
    8
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