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int (sin 6x- sin 2x )/(cos 6x - cos 2x) ...

`int (sin 6x- sin 2x )/(cos 6x - cos 2x) dx`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(4) log | sin 4x|+c`
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Knowledge Check

  • If I=int (sin x + sin^(3)x)/(cos 2x) dx= A cos x + B log |f(x) |+c , then-

    A
    `A=(1)/(4), B=(1)/(sqrt(2)), f(x)=(sqrt(2) cos x-1)/(sqrt(2) cos x+1)`
    B
    `A=(1)/(2), B=(-3)/(4sqrt(2)), f(x)=(sqrt(2) cos x-1)/( sqrt(2) cos x+1)`
    C
    `A=(-1)/(2), B=(3)/(sqrt(2)), f(x) =(sqrt(2) cos x+1)/(sqrt(2) cos x-1)`
    D
    `A=(1)/(2), B=(3)/(4sqrt(2)), f(x) =(sqrt(2) cos x +1)/(sqrt(2) cos x-1)`

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