A solar panel's power output PPP, in kilowatts, is modeled by the function
P(t)=t2+32tt,1≤t≤9P(t) = \frac{t^2 + 3}{2t\sqrt{t}}, \quad 1 \le t \le 9P(t)=2ttt2+3,1≤t≤9
where 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.
Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.