Evaluate the following definite integral: `int_1^2e^(2x)(1/x-1/(2x^2))dx`

Explanation

Take `2 x=t Rightarrow x=frac{t}{2} Rightarrow x^{2}=frac{t^{2}}{4}`
`
2 d x=d t`
`
d x=frac{d t}{2} `

if,` x=1` then, ` t=2 `
`
x=2 ` then, ` t=4`
`
int_{1}^{2}(frac{1}{x}-frac{1}{2 x^{2}}) e^{2 x} d x`
`
Rightarrow int_{2}^{4}(frac{2}{t}-frac{4}{2 t^{2}}) e^{t} frac{d t}{2}`
`
Rightarrow int_{2}^{4}(frac{1}{t}-frac{1}{t^{2}}) e^{t} d t`

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