Evaluate: `inte^x(cotx+logsinx)dx`

Explanation

Let `I=int e^{x}(cot x+log (sin x)) d x`

where `f(x)=log (sin x) `

and `f^{prime}(x)=frac{d}{d x}[log (sin x)] `
`

=frac{1}{sin x} times frac{d}{d x}(sin x) `
`


=frac{cos x}{sin x}`
`
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