calculus
posted by rajiv n. .
calculate the area bounded between the parabola y=x2, the straight line y=(x/2)+2, line x=1 and the yaxis.

make a sketch to see that in your region the straight line lies above the parabola.
Find the intersection:
x^2= x/2 + 2
2x^2  x  4 = 0
x = appr 1.686 or x = 1.183
so we want:
Area = [integral] (x/2 + 2  x^2) dx from 0 to 1.686
= (1/4)x^2 + 2x  (1/3)x^3 from 0 to 1.686
= ...
I will let you do the arithmetic.