Find the Series Equal to the Definite Integral $\int _ { 0 } ^ { 2 } x ^ { 2 } \cos \left( x ^ { 2 } \right) d x$

Find the series equal to the definite integral $\int _ { 0 } ^ { 2 } x ^ { 2 } \cos \left( x ^ { 2 } \right) d x$