Question

Picture attached, please help.

Answer 1

-1

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