g ( y ) = ∫ y 2 t 2 sin ( t ) d t = 1 ( y 2 s i n y ) − 0 ( 2 2 s i n 2 ) = y 2 s i n y {\displaystyle g(y)=\int _{y}^{2}t^{2}\sin {(t)}dt=1(y^{2}sin{y})-0(2^{2}sin{2})=y^{2}sin{y}}
