Let
F(t)=5*3^(t),a=2,b=3
, and
f(t)=F^(')(t)
. Write the integral
\int_a^b f(t)dt
and evaluate it using the Fundamental Theorem of Calculus.
\int_2^3 ln(3)*3^(t)dt=270
\int_2^3 5ln(3)*3^(t)dt=90
\int_2^3 5ln(3)*3^(t)dt=46,875
\int_2^3 5ln(3)*3^(t)dt=180
\int_2^3 5ln(3^(t))*3^(t)dt=90