Question

Choose the correct alternative : 

`int_(-2)^3 dx/(x + 5)` =

Options

• `-log(8/3)`

• `log(8/3)`

• `log(3/8)`

• `-log(3/8)`

Answer 1

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)`.