Assume that $\displaystyle {\sin{{\left({x}\right)}}}$ equals its Maclaurin series for all $\displaystyle {x}$.
Use the Maclaurin series for $\displaystyle {\sin{{\left({3}{x}^{{2}}\right)}}}$ to evaluate the integral

$\displaystyle {\int_{{0}}^{{{0.8}}}}{\sin{{\left({3}{x}^{{2}}\right)}}}\ {\left.{d}{x}\right.}$.

Your answer will be an infinite series. Use the first two terms to estimate its value.

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