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` int _(1)^(2)e^(x) (1/x - 1/(x^(2)))dx ` is qual to
A. ` e-(e^(2))/2`
B. ` (e^(2))/2 - e`
C. ` (e^(2))/2 + e`
D. ` (e^(2))/2 - 2 `

1 Answer

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Best answer
Correct Answer - B
`int_(1)^(2)e^(x)((1)/(x)-(1)/(x^(2)))dx=[(1)/(x)e^(x)]_(1)^(2)+int_(1)^(2)(e^(x))/(x^(2))dx-int_(1)^(2)(e^(x))/(x^(2))dx`
`= (e^(2))/(2)-e`

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