Exercises
[1VF] Note:exercise 3, written exam, June 23th 2012.
Prove that there is one and only one continuous function \(f\) on interval \([0, 1]\) that satisfies the condition
\[ f(x)=\sin (x)+β«_ 0^ 1 \frac{f(t)}{x^ 2+t^ 2+1}\, {\mathbb {d}}t \quad β xβ [0,1]\quad . \]