[填空题]
The following table shows the x a5nyn -j*sue7x b+ve1onx *8m0n(tt+.aio dice )s 7sczz )yos5d y coordinates of five points that lie on acy(c*otz+o5iss 07xi t s)admz8 en.) curve 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.
