The Trapezium Rule

\sqrt{5^x + 2}

a.

Copy and complete the table below, giving the values of $y\,$ to 3 decimal places.

$x$	0	0.5	1	1.5	2
$y$			2.646	3.630

[2]

b.

Use the trapezium rule, with all the values of $y\,$ from your table, to find an approximation for the value of $dx\int_0^2 \sqrt{5^x + 2} \, dx$ .

[4]

\sqrt{5^x + 2}

a.

Copy and complete the table below, giving the values of $y\,$ to 3 decimal places.

$x$	0	0.5	1	1.5	2
$y$			2.646	3.630

[2]

b.

Use the trapezium rule, with all the values of $y\,$ from your table, to find an approximation for the value of $dx\int_0^2 \sqrt{5^x + 2} \, dx$ .

[4]

The Trapezium Rule Questions