
Integral Area
Hello fellow math members!
I can't find this area of this two function intersecion:
Y1=
Y2=sin(pi*x)
For
From what I know, I need to do y1=y2 initially, right?
But even that I did't get to resolve =/
Any help? ^^
Here is the answer:
Thanks!

Re: Integral Area
A graphical representation of the intersections of the two functions would be sufficient in my opinion, but if you want to be slightly more rigorous:
When x = 1, 0, 1 then both and = 0
In the interval (1,0), and so the two functions cannot be equal.
In the interval (0,1), "" < 0 and "" > 0 so the two functions cannot be equal.
Hence the only intersection points are 1, 0, 1. then set up your integrals.
one will be from 1 to 0 with and the other will be from 0 to 1 with . After solving both, add them to get your total area.

Re: Integral Area
Thanks a lot mate! ;)
Just did it!