Sketch the graph of $y=3^x$, $x\in \mathbb{R}$, showing the coordinates of the point at which the graph meets the $y$-axis.

Copy and complete the table, giving the values of $3^x$ to 3 decimal places.

Use the trapezium rule, with all the values from your tables, to find an approximation for the value of ${\int }_0^1{3}^{x}dx$.