Out of curiosity, what is that spoilered book?

Really? I would argue that pocket calculators are AI

This book has been on my reading list for a long time, I really have to get around to it sometime.

Some clarifications: f(x) = -2x/3 + 5 isn’t technically correct. It happens to equal that when x is between 6 and 9, but the function is different outside of that range. Similarly, your equation for F(x) is only correct when x is between 6 and 9. The reason this matters is because F(0) = 2 doesn’t mean C = 2. That only works if the function is the same all the way to x = 0, which it’s not.

If you want to solve by integrating, you would have to integrate each section and find the right C for each section that makes the integrals all connect to each other.

Alternatively, you can use the property that F(b) - F(a) = the area under f(x) from a to b. I think that region from x = 4 to 6 is supposed to be a semicircle, so each section is a standard shape and you can calculate the area using geometry.

I was going to suggest some written stories until I saw you wanted movies, shows, or games which this definitely isn’t. I’ll still leave this here though in case anyone else passing through is interested:

• Ra
• There is No Antimemetics Division