What is the area under the curve y=x−x^2and above the x-axis?

The area between the x-axis and the given curve equals 1/6 units.

Step-by-step explanation:

given any 2 functions f(x) and g(x) the area between the 2 figures is calculated as

The area needed is shown in the attached figure

The points of intersection of the given curve and x-axis are calculated as

hence the points of intersection are

The area thus equals

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.