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" if " int (sin 2x- cos 2x) dx=(1)/(sqrt...

`" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?`

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If int (sin 2x - cos 2x) dx = 1/(sqrt((2))) sin (2x - a) + b ,then a = ......., b =.......... .

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Knowledge Check

  • int(sin x - cos x)/(sqrt(2x)) dx =

    A
    `"log"{(sin x + cos x) + sqrt(sin 2x)}`
    B
    `- log {sin x + cos x + sqrt(sin 2x)}`
    C
    `log (sin x - cos x + sqrt(sin 2x))`
    D
    `- log [sin x - cos x + sqrt(sin 2x)]`

  • If int (sin2x-cos 2x)dx=(1)/(sqrt2) sin(2x-a)+b , then the values of a & b are

    A
    `a=-(5pi)/(4), b in R`
    B
    `a=(5pi)/(4), b in R`
    C
    `a inR, b=(5pi)/(4)`
    D
    `b=-(5pi)/(4), a in R`

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    The relation int(sin2x+cos2x)=(1)/(sqrt(2))sin(2x-a)+c is true for

    int_( then )^( If )(sin2x-cos2x)dx=(1)/(sqrt(2))sin(2x-a)+b

    int_( then a=)^( If )(sin2x-cos2x)dx=(1)/(sqrt(2))sin(2x-a)+C

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