Solve the equation int(u^2/1+u^2,u,0,x)=.5?

Question

that is the integral of u^2/1+u^2 evaluated from 0 to x is equal to .5

Answer 1

Int (u^2/(1+u^2)) = u - arctan(u) so
[x - arctan(x)] - [0 - arctan(0)] = .5
x - arctan(x) = .5
And if you can't take it from there, you is in *deep* trouble ☺


Doug