Split - find x values for 2arctan(x) + arcsin(2x/(1+x^2))=pi

[Gregre]

f(x)=arcsin(2x/(1 + x^2))-2arctan(x)
Simplify this function over three intervals.
Please help me.

 

[Dr.Peterson]

f(x)=arcsin(2x/(1 + x^2))-2arctan(x)
Simplify this function over three intervals.
Please help me.

This should be in a new thread. It isn't as closely related as you might think.

And, of course, you need to show us what help you need, by showing your own work. And what are the "three intervals"?