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int 1/(sinx(1+2cosx)) dx...

`int 1/(sinx(1+2cosx)) dx`

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Evaluate: int1/(sinx+cosx)\ dx

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Knowledge Check

  • int(1)/(sinx-cosx)dx=

    A
    `(1)/(sqrt2)log[tan((pi)/(4)-(x)/(8))]+c`
    B
    `(1)/(sqrt2)log[cot((pi)/(4)-(x)/(8))]+c`
    C
    `(1)/(sqrt2)tan((x)/(2)-(pi)/(8))+c`
    D
    `(1)/(sqrt2)log[tan((x)/(2)-(pi)/(8))]+c`

  • int(1)/(1+sinx+cosx)dx=

    A
    `log(1-tan.(x)/(2))+c`
    B
    `log(1+tan.(x)/(2))+c`
    C
    `log(2+tan.(x)/(2))+c`
    D
    `log(2-tan.(x)/(2))+c`

  • int(1)/(1+sinx+cosx)dx=

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

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