A current through a wire depends on time as i=α_0 t +β t^2 where α_0=20 A / s and β=8 As^-2. Find the charge crossed through a section of the wire in…

A current through a wire depends on time as $$i=\alpha_0 \mathrm{t}+\beta \mathrm{t}^2 $$ where $\displaystyle \alpha_0=20 \mathrm{~A} / \mathrm{s}$ and $\displaystyle \beta=8 \mathrm{As}^{-2}$. Find the charge crossed through a section of the wire in $\displaystyle 15$ s.