a
\(i\,\, = \,\,\frac{{dq}}{{dt}}\,\, \Rightarrow \,\,dq\,\, = \,\,\left( {2\,\, + \;\,3t} \right)dt\)

\(\int\limits_0^{10} {dq\,\, = \,\,\int\limits_0^{\,10} {\left( {2\,\, + \;\;3t} \right)} } \,\,dt\)

\( \Rightarrow \,\,Q\,\, = \,\,\left( {2t\,\, + \;\,\frac{{3{t^2}}}{2}} \right)_0^{10}\)

\(Q\,\, = \,\,2t\,\, + \;\,\frac{3}{2}\,\, \times \,\,100\,\, = \,\,20\,\, + \;\,150\,\,\, = \,\,170\,\,C\)