Question 999937
Using a step size of 0.2, 
Xi,   Yi
-0.9,	0.49	
-0.7,	1.41	
-0.5,	2.25	
-0.3,	3.01	
-0.1,	3.69	
0.1,	4.29	
0.3,	4.81	
0.5,	5.25	
0.7,	5.61	
0.9,	5.89	
1.1,	6.09	
1.3,	6.21	
1.5,	6.25	
1.7,	6.21	
1.9,	6.09	
2.1,	5.89	
2.3,	5.61	
2.5,	5.25	
2.7,	4.81	
2.9,	4.29	
3.1,	3.69	
3.3,	3.01	
3.5,	2.25	
3.7,	1.41	
3.9,	0.49	
{{{Sum=	104.25}}}
Multiplying by the sum,
{{{A=104.25*0.2=	20.85}}}
In the limit, {{{A=-(4^3/3)+(3/2)4^2+4(4)+((-1)^3/3)-(3/2)(-1)^2-4(-1)=125/6}}}