Evaluate: `inte^x\ (cosx-sinx)\ dx`

Explanation

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


Let `I_1=int e^{x} cos x d x`

Let `u=cos x Rightarrow d u=-sin x d x`
`

d v=e^{x} d x Rightarrow v=e^{x}`
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