The rate of fuel consumption R(t)R(t)R(t), measured in litres per hour (L/hL/hL/h), of a trans-oceanic freight ship is monitored during a specific segment of its voyage. The table below displays the recorded consumption rates at 1.5-hour intervals over a 6-hour period.
| ttt (hours) | 0.0 | 1.5 | 3.0 | 4.5 | 6.0 |
|---|---|---|---|---|---|
| R(t)R(t)R(t) (L/hL/hL/h) | 150.000 | 177.505 | 190.641 | 201.428 | 211.000 |
Use the trapezium rule with all the values from the table to determine an estimate for the total fuel consumed, in litres, between t=0t = 0t=0 and t=6t = 6t=6.
Give your answer to 3 decimal places.
43 exam-style questions on AQA A Level Maths 1.12.3 Numerical integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.