Course home

1.12.3 Numerical integration (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43

Question 27

During a test flight of a high-performance drone, the power consumption rate $P$ (in kW) is monitored over a 2-minute interval. The rate at time $t\,$ minutes is modelled by the function:

\frac{2.5^t}{\sqrt{2t^2 + 5}}

Complete the table below, giving the values of $P$ to 3 decimal places.

$t$	0	0.5	1	1.5	2
$P$	0.447		0.945		1.733

[2]

Use the trapezium rule, with all the values of $P$ from the completed table, to find an approximate value for the total energy consumed over the interval:

\int_{0}^{2} \frac{2.5^t}{\sqrt{2t^2 + 5}} \, dt

[3]

Markscheme

1.12.3 Numerical integration (A-level only) Questions

A Level
Maths
1.12.3 Numerical integration (A-level only)

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.

1.12.3 Numerical integration (A-level only)

Question bank

1.12.3 Numerical integration (A-level only)

Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43

Question 27

During a test flight of a high-performance drone, the power consumption rate $P$ (in kW) is monitored over a 2-minute interval. The rate at time $t\,$ minutes is modelled by the function:

\frac{2.5^t}{\sqrt{2t^2 + 5}}

Complete the table below, giving the values of $P$ to 3 decimal places.

$t$	0	0.5	1	1.5	2
$P$	0.447		0.945		1.733

[2]

Use the trapezium rule, with all the values of $P$ from the completed table, to find an approximate value for the total energy consumed over the interval:

\int_{0}^{2} \frac{2.5^t}{\sqrt{2t^2 + 5}} \, dt

[3]

Markscheme

1.12.3 Numerical integration (A-level only) Questions

A Level
Maths
1.12.3 Numerical integration (A-level only)

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.