Question

Solve the following : `int_(-4)^(-1) (1)/x*dx`

Answer 1

Let I = `int_(-4)^(-1) (1)/x*dx`

= `[log |x|]_(-4)^(-1)`
= log | – 1| – log | – 4|
= log 1 – log 4
= 0 – log 4
∴ I = – log 4