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Integrate sqrt(2+2sin(x)) ?

  1. Jun 23, 2005 #1
    I'm having trouble with this. Can anyone help me integrate

    sqrt(2+2sin(x))

    ??

    Thanks
     
  2. jcsd
  3. Jun 23, 2005 #2
    Can you out it into a different form first?

    The Bob (2004 ©)
     
  4. Jun 23, 2005 #3
    Other than
    sqrt(2)*sqrt(1+sin(x))

    I'm stuck
     
  5. Jun 23, 2005 #4

    dextercioby

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    HINT:Make the substitution

    [tex] \tan\frac{x}{2}=t [/tex]

    Daniel.
     
  6. Jun 23, 2005 #5
    Can you be more specific please?
     
  7. Jun 23, 2005 #6

    dextercioby

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    Transform the integral (make a change of variable).

    [tex] \sqrt{2}\int \sqrt{1+\sin x} \ dx [/tex]

    [tex] x=2\arctan t [/tex]

    Daniel.
     
  8. Jun 23, 2005 #7
    hello there

    sqrt[1+sinx]=[(cosx)^2]/[sqrt[1-sinx]]

    see what you could do with that if it helps

    steven
     
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