How do you compute the value of $int 1/x dx$ of $[1,10]$ ?

Question

1329 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-24T09:33:21

$int_a^b f(x)dx = F(b) - F(a)$
where $(dF(x))/dx = f(x)$

As:

$int_1^"10"1/x dx = int_1^"10" d((ln(x)))/dx = ln(x) |_1^"10"= ln(10) -ln(1) = ln(10)$

How do you compute the value of int 1/x dxint 1/x dx of [1,10][1,10]?