what is the area bounded by the following curve and straight line?

As you would notice the graphs of this curve and tis line do not intersect.

Algebraically if you solve the quadratic given by equating the y in the two equations , you will get non real roots.

x^2 - x + 2 = 0

D = 1-8 =-7  < 0

So the area between the two is unbounded