[填空题]
The following table show. dqal0ho80( z w 0no r;o)cagxtg93rcs 2hjhz a22(x) lcdos(g the x and y coordinates of five points that lie on a curc2( 2 2a(h)ohgdjzlx sve y=f(x) .
1. Estimate the area under the curve over the interval 2 The equation of the curve was found to be y=$x^{3}-7 x^{2}+14 x-2$ ;it is Approximately equal to units$^2$( one decimal please)
2. 1. Write down an integral that represents the area under the curve over the interval.
2. Find the exact value of the area under the curve over the interval.A=$\frac{a}{b}$;a= ,b= .
3. Find the percentage error between the estimation in part (a) and the exact value in part (b). Provide a reason for the difference.
