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int (cos x - sin x)/(1 + sin 2x) dx...

`int (cos x - sin x)/(1 + sin 2x) dx`

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Knowledge Check

  • int 1/(cos x - sin x) dx =

    A
    `1/(sqrt2) "log tan" (x/2 - pi/8)`
    B
    `1/(sqrt2) "log cot " x/2`
    C
    `1/(sqrt2) "log tan" (x/2 - (3pi)/8)`
    D
    `1/(sqrt2) "log tan" (x/2 + (3pi)/8)`

  • int _(0)^(pi//2) (cos x - sin x)/(1+cos x sin x)dx is equal to

    A
    0
    B
    `pi/2`
    C
    `pi/4`
    D
    `pi/6`