Evaluate: `int1/(sinx(3+2cosx)\ dx`

Explanation

`I=int frac{d x}{sin x(3+2 cos x)}`

`=int frac{sin x d x}{sin ^{2} x(3+2 cos x)}`


`=int frac{sin x d x}{(1-cos ^{2} x)(3+2 cos x)} `

`=int frac{sin x d x}{(1-cos x)(1+cos x)(3+2 cos x)}`

`text { Putting } cos x=t`

`Rightarrow-sin x d x=d t`

`Rightarrow sin x d x=-d t`

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