Let G$=$e$3$ti$+3$t$2$cos$($t$3+1)$j$+2$te$3$t$2$kFind the indefinite vector integral

$$G$($t$)$dt$=$

i$+$

j$+$

k$+$C

where C$=$C$1$i$+$C$2$j$+$C$3$k is a vector of arbitrary constants.