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Integrate:int sin x/(sin x - cos x ) dx...

Integrate:`int sin x/(sin x - cos x ) dx`

Text Solution

Verified by Experts

The correct Answer is:
`[l = m = 1/2 ]`
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Knowledge Check

  • int sin x/(sin 4x)dx

    A
    `1/8log |(1+sinx)/(1-sinx)|+1/(4sqrt2)log |(1+sqrt 2sin x)/(1-sqrt2sin x)|+c`
    B
    `1/8 log |(1-sinx)/(1+sin x)|+1/(4sqrt2)log |(1+sqrt2 sin x)/(1-sqrt2sinx)|+c`
    C
    `-1/8log |(1+sinx)/(1-sinx)|+1/(4sqrt2)log |(1+sqrt2sin x)/(1-sqrt2 sin x)+c`
    D
    `-1/8 log |(1+sinx )/(1-sinx)|-1/4sqrt2 log|(1+sqrt2sin x)/(1-sqrt2sinx)|+c`

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