You should be able to solve this

Here you go

You failed calc iii didnt you?

I actually got an A in every class in the calc series, but I go to an engineering school and the math classes are easy. Literally never seen a cycloid before and I will be a certified engineer in a year.

What brainlet school do you go to?

You found the fucking integral over a rectangle, not over the cycloid.

could someone solve a related problem or something because i'm actually blanking on how to do this

my first instinct is to do dx=a(1-cos(t)dt and dy=asin(t)dt but then the integral wouldn't make sense

You'll be an engineering graduate but not a certified engineer. Big difference.

did you get asked this before or after recess?

Thats the thing. The parameteric equation forms the upper bound only. You need x to go from 0 to 2api, and y from 0 to the upper bound. But it's hard to make y a function of x - it's possible but you will get a massive function full of arc cosines and stuff. Not even wolfram can find the integral.

Oh yeah don't certified engineers have to take that really hard exam for certification?

there's two exams, one you can take before you graduate and the other you need to work as a junior engineer for some time before you can take it. the last one takes something like 12 hours. if you pass both you become a professional engineer.