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Question
Choose the correct alternative :
`int_(-2)^3 dx/(x + 5)` =
Options
`-log(8/3)`
`log(8/3)`
`log(3/8)`
`-log(3/8)`
Solution
Let I = `int_(-2)^3 (1)/(x + 5)*dx`
= `[log |x + 5|]_(-2)^3`
= [log |3 + 5| – log |–2 + 5|]
= log 8 – log 3
∴ I = `log(8/3)`.
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