Approximating ln using integrals.

[zingoria]

I am not sure how would I work this problem.
Any help would be appreciated.

Estimate
ln 1. 5 = Integral from 1 to 1.5 dt/t
using the approximation 1
2 [Lf (P) + Uf (P)] with
P = {1 =8/8, 9/8, 10/8, 11/8, 12/8=1.5}

 

[sutupidmath]

what are Lf(P), Uf(P), are they just two diffrent functions, or?
if they are functions do they hve any other property given?

 

[Gib Z]

They mean Riemann sums with Lower/Upper function values. In this case, it correspondes to Left hand/Right hand sums.

I don't understand zingorias 3rd last and last line very well, what exactly have you tried so far?

PS- This should have been posted in a homework forum.