Evaluate the following integrals:
`inte^(x)((sinxcos-1)/(sin^(2x)))dx`

Explanation

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

I=int e^{pi}(cot x-cosec^{2} x) d x `
`
I=int e^{pi} cot x d x-int e^{x} {cosec}^{2} x d x`


Consider `int e^{x} cosec^{2} x d x`

Let` u=e^{x} Rightarrow d u=e^{x} d x`
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