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int(cos^2x+sin2x)/((2cosx-sinx)^2)dx...

`int(cos^2x+sin2x)/((2cosx-sinx)^2)dx`

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If int(cos^(2)x+sin2x)/((2cosx-sinx))dx=(-A)/(25)x-(2)/(5)log|2cosx-sinx|+(1)/(2-tanx)+C then A is equal to

int(cos2x)/(cosx+sinx)dx

Knowledge Check

  • int(cos2x)/(cosx-sinx)dx=

    A
    `sinx+cosx+c`
    B
    `cosx-sinx+c`
    C
    `sinx-cosx+c`
    D
    `sinx.cosx+c`

  • int (cos 2x)/(cosx+sinx)^(2)dx =

    A
    (-1)/(sinx+cos x)+c
    B
    log(sinx+cosx)+c
    C
    log(sinx-cosx)+c
    D
    `log (sinx +cosx)^(2)+c`

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