Let f(t) = F'(t) . Write the integral \int_a^b f(t) dt and
evaluate it using the Fundamental Theorem of Calculus: if
F(t)=t^{3} , a=3 , and b=4 , then the integral is

\int_a^b f(t) dt = \int_{v_1}^{v_2} ,

where

v_1 =

v_2 =

where

Then, after evaluation,

You can earn partial credit on this problem.