2.
$$y = \frac { 2 ^ { x } } { \sqrt { \left( 5 x ^ { 2 } + 3 \right) } }$$
- Complete the table below,giving the values of \(y\) to 3 decimal places.
| \(x\) | - 0.25 | 0 | 0.25 | 0.5 | 0.75 |
| \(y\) | 0.462 | | 0.653 | | 0.698 |
- Use the trapezium rule,with all the values of \(y\) from the completed table,to find an approximate value for
.
$$\int _ { - 0.25 } ^ { 0.75 } \frac { 2 ^ { x } } { \sqrt { \left( 5 x ^ { 2 } + 3 \right) } } \mathrm { d } x$$