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Evaluate: int1/(cos3x-cosx)dx...

Evaluate: `int1/(cos3x-cosx)dx`

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To evaluate the integral \[ \int \frac{1}{\cos 3x - \cos x} \, dx, \] we will follow these steps: ...
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Knowledge Check

  • int1/(cosx(1+cosx))dx=

    A
    `logabs(secx+tanx)+2tan""x/2+c`
    B
    `logabs(secx+tanx)-2tan""x/2+c`
    C
    `logabs(secx+tanx)+tan""x/2+c`
    D
    `logabs(secx+tanx)-tan""x/2+c`

  • int(cosx-cos^(2)x)dx=

    A
    `log(cosx-cotx)+tan((x)/(2))+c`
    B
    `sin2x-cosx+c`
    C
    `log(secx+tanx)-cot((x)/(2))+c`
    D
    `cos2x-sinx+c`

  • int(1)/(1-cos3x)dx=

    A
    `3cot((3x)/(2))+c`
    B
    `(1)/(3)cot((3x)/(2))+c`
    C
    `-(1)/(3)cot((3x)/(2))+c`
    D
    `-(1)/(3)cos((3x)/(2))+c`

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