Posted by bob on .
for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus.
the integral from 1 to 3 ___ dt= __

Calculus 
Reiny,
F(t) = ln t^2
= 2 lnt
f(t) = 2/t
so if you want ∫f(t) dt from 1 to 3
= ln t^2 from 1 to 3
= ln9  ln1
= ln9  0
= ln 9