Question

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

Answer 1

Using the fundamental theorem of Calculus

Explanation:

`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)`