# Evaluate the following definite integrals: ∫-231x+5⋅dx - Mathematics and Statistics

Sum

Evaluate the following definite integrals: int_(-2)^3 (1)/(x + 5)*dx

#### 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).

Is there an error in this question or solution?