Answer:
-1
Step-by-step explanation:
∫x^2 -x +1 dx = x^3/3 -x^2/2 +x evaluated at 1 subtracting the value at 0
1/3 -1/2 +1 - (0/3 -0/2 +0)
5/6
Now lets find
∫x^2 -x +1 dx=x^3/3 -x^2/2 +x evaluated at 2 subtracting the value at 1
2^3/ 3 -2^2/2 +2 - (1/3 -1/2 +1 )
8/3 -2 +2 - (5/6)
8/3 -5/6
11/6
The total is 5/6 - 11/6 = -6/6 or -1
