Okay, what have you done? Have you graphed the function?

Also there is a lack of information. The region enclosed by y= x^2+ x, x= 0, and x= 2 is not bounded and does not have a finite area. You are missing one boundary. Is y= 0 also a boundary line?

If so, to do this you only need to know:

1) The area is where f(x) and g(x) are the equations of the upper and lower boundaries, respectively. (And, here, g(x)= 0.)

2) The anti-derivative of is .