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int(cos 2x-sin 2x)/(cos2x+sin2x)dx...

`int(cos 2x-sin 2x)/(cos2x+sin2x)dx`

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Knowledge Check

  • int(1)/(cos2x+sin2x)dx=

    A
    `(1)/(2sqrt2)log[(sqrt2-1+tanx)/(sqrt2+1-tanx)]+c`
    B
    `(1)/(2sqrt2)log[(sqrt2+1+tanx)/(sqrt2)]+c`
    C
    `(1)/(sqrt2)log[(sqrt2-1+tanx)/(sqrt2+1-tanx)]+c`
    D
    `(1)/(2sqrt2)tan^(-1)[(1-tanx)/(sqrt2)]+c`

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