I have two functions
I need to write S(x) without the integral sign.
My attempt
I started by trying to find the primitive functions for each part
1.a
2.a
3.a
Now what confuses me a bit is what integrating from 0 to x actually means in this case. Does it just mean that I integrate for the defined interval in each case? Or do I actually calculate things like 1.b here:
1.b
I am also supposed to plot S(x), so I would like to grasp how it works/what it looks like. Right now I just cannot get my head around this.
Any help appreciated.
Thanks for replying!
Yeah, honestly it scares the hell out of me.This is an extremely messy problem. You are over simplifying it too.
So a different way to express f(t) could be like below?
And if I continue from your example above
Or am I still over simplifying things?
I am not sure I understand how/why I divide that last integral into two parts. Would the part for 2.a look like below?
Thanks for your time!
Right, I don't know how I missed that.
Then
Pretty sure that part is correct now. But I am still a bit confused. Was the second part of my last post correct? The assumption that the part for 2.a would look like below?
Attempt 3
I've ended up with this
Is this in any way correct?
I'm not really sure if I am still over simplifying things. And I apologize if these are stupid questions, but I am extremely stressed at the moment and just cannot figure this out.
Again, thanks for the help.
Ahhh okay, I see what you mean now. But in the original post,
So is really a part of this interval? Can I still use it in the way you have suggested?
I just assumed it would be part of the sin(t) interval, and could only be used there.