Question

How do you find the definite integral of `dx/ (x+2)` from `[0, 7]`?

Answer 1

`2ln(3)-ln(2)`

Explanation:

Using that
`int 1/xdx=ln|x|+C`
we get

`int_0^7dx/(x+2)=[ln|x+2|]_0^7=ln(9)-ln(2)=2ln(3)-ln(2)`