Question

F(x): anti-derivative of f(x)
F(0) = 2, F(9) = ?

Answer 1

anti-derivative is just the area

Answer 2

So find the area between x=0 and x=9 in the graph and add that to F(0)

Answer 3

So it would be the sum of triangle, rectangle, and the last two triangles?

Answer 4

Well it would be the trapezoid/trapezium from 0 to 7.5 subtract the semicircle from 4 to 6, then subtract the triangle from 7.5 to 9 because it's negative.

Answer 5

Oh yeah, makes perfect sense.