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Evaluate: int1/(sinx-sin2x)dx...

Evaluate: `int1/(sinx-sin2x)dx`

Text Solution

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`I=int frac{1}{sin x-sin 2 x} d x `

`text { or } I=int frac{d x}{sin x-2 sin x cos x} `

`text { or } I=int frac{d x}{sin x(1-2 cos x)} `

`text { or } I=int frac{sin x}{sin ^{2} x(1-2 cos x)} d x `

`text { or } I=int frac{sin x d x}{(1-cos ^{2} x)(1-2 cos x)}`

Putting, `cos x=t` or `-sin x d x=d t`

or `sin x d x=-d t`, we get

...
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