examday

/TMUA

Let $f(x)=x^3-3x$

Consider the following three curves:

• (1) $y=f(x)$
• (2) $y=f(x)+2$
• (3) the curve $y=f(x)$ reflected in the $x$-axis

The trapezium rule is used to estimate the signed area $\displaystyle\int_{-1}^1y\,dx$ for each curve using the points $x=-1$, $x=0$ and $x=1$

Select the row that correctly describes whether the trapezium rule gives an overestimate, an underestimate, or an exact value for each curve