A solar panel's power output PPP, in kilowatts, is modeled by the function
P(t)=t2+32tt,1≤t≤9 P(t) = \frac{t^2 + 3}{2t\sqrt{t}}, \quad 1 \le t \le 9 P(t)=2ttt2+3,1≤t≤9where t t\,t is the time in hours after dawn.
Determine the total energy produced, in kilowatt-hours, between t=1t = 1t=1 and t=9t = 9t=9.