The value of integral \(\mathop \smallint \nolimits_0^\pi xF\left( {\sin x} \right)dx\) is
1
\(\frac{\pi }{2}\mathop \smallint \nolimits_0^\pi F\left( {\sin x} \right)dx\)
2
\(\frac{\pi }{4}\mathop \smallint \nolimits_0^\pi F\left( {\sin x} \right)dx\)
3
\(\frac {\pi}{2} \mathop \smallint \nolimits_0^{\pi /2} F\left( {\sin x} \right)dx\)
4
\(\pi \mathop \smallint \nolimits_0^\pi F\left( {\sin x} \right)dx\)