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int (1)^(2)e^(x) (1/x - 1/(x^(2)))dx i...

` 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 `

Text Solution

Verified by Experts

The correct Answer is:
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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