The current $\displaystyle {i}$ in a circuit element is given by $\displaystyle \ {i}=\frac{{387}}{{100}}+{8}{t}^{{{4}}}\$ amperes.

(a)   Find the charge function $\displaystyle {q}$, if $\displaystyle \ {q}=\int\ {i}\ {\left.{d}{t}\right.}$, and the initial charge is 7.30 coulombs.

$\displaystyle {q}{\left({t}\right)}=$   amperes

(b)   Find the charge after 3.72 seconds. Round your answer to two decimal places.

$\displaystyle {q}{\left({3.72}\right)}=$   amperes

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