Question

Evaluate the following definite integral:

`int_(-2)^3 (1)/(x + 5)*dx`

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)`