find the area of x^2+x+2 and 3x+3

Your question obviously was:

Find the area enclosed by the functions
y = x^2 + x + 2 and y = 3x + 3

The way you typed it makes no sense.

First find the intersection of the parabola and the straight line. ( got x = 1 ± √2)
Find the effective height of your region
( I had 3x+3 - (x^2 + x + 2) or -x^2 + 2x + 1 )

evaluate the definite integral of that for the x values you found.