Current I flows through a wire depends on time t as follows`I=3 t^2+2t+5` How much charge flows through the cross section of the wire from t=0 to t=2 s ?

Explanation

The charge flowing the cross section of the wire is
`Q=int_0^2Idt=3int_0^2t^2dt+2int_0^2tdt+5int_0^2dt`
`3[(t^3)/3]_0^2+2[(t^2)/3]_0^2+5[t]_0^2=22C`