Evaluate: (i) `int(e^(2x))/(e^(2x)-2)\ dx` (ii) `int(2cosx-3sinx)/(6cosx+4sinx)\ \ dx`

Explanation

(i)

`Let {I}=int frac{e^{2 x}}{e^{2 x}-2} d x`

Putting `e^{2 x}=t`


`Rightarrow 2 e^{2 x}=frac{d t}{d x} `

`Rightarrow e^{2 x} d x=frac{d t}{2} `

`therefore I=frac{1}{2} int frac{1}{t-2} d t `

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