Tough(?) Integral help

[surreal hare]

Hey, sorry if this is really simple 😅 but I cannot seem to figure out how to solve this integral. X is a function that’s connected to t— x(t).
k is a constant.

[desert magnet]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with: ```diff
   +close

[supple barn]

@surreal hare can you write this better. Is it integral k*x²(t) dt ? In that case since you don't know x(t) you can't do much.

[surreal hare]

Yeah, it is. Suppose we knew x(t), would we just substitute?

I’ve one more q btw, so i solved the question via a different integral, but I’m somewhat not convinced of my own solution (it was a “show” Question so I know this is the result they want). Is x is a proportion, wouldn’t that put a restraint on it, 0<x<1? And wouldn’t that make the absolute value get out as x-1?

[supple barn]

@surreal hare If 0<x<1 then |x-1|=1-x

[supple barn]

Yeah if you don't know x you cannot solve the integral. What are you doing there is solving a differential equation by separation of variables. It seems that that differential equation describes how the rumor spreads with time.

[surreal hare]

The opposite is true right? I,e |1-x| = x-1

[supple barn]

No |x-1|=|1-x| so if 0<x<1 then |1-x|=1-x

[surreal hare]

Oh

Wait

You’re right 😂😂

My dumbass

Anyways, thanks a ton!

[supple barn]

Haha np

[surreal hare]

+close