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Show that : int sqrt (1+ cos x ) dx...

Show that :
` int sqrt (1+ cos x ) dx = 2 sqrt(2) sin. x/2 + c `

Answer

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Knowledge Check

  • sqrt(cos 2x) + sqrt(1 + sin 2x) = 2sqrt(sin x + cos x) if

    A
    sin x + cos x = 0
    B
    `x = 2npi, n in I`
    C
    `x = npi - pi/4 , n in I`
    D
    `x = 2npi +- cos^-1 (-1/5), n in I`

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