Hello I am new.

Question:

Find the area bounded by the graph of each of the following functions, the x-axis and the given co-ordinates. Sketch the graph in case.

f(x)=2-x-x^2 ; x=0 to x=2.

My attempt:

=2x-(x^2/2)-(x^3/3)

=(0) - (2(2) - (2)^2/2) - (2)^3/3)

=0- (4-2-(8/3))

=0 - (-2/3)

Absolute value gives me:

2/3

But the answer is not right it is:

3.

I don't get it please help.

Thank you.