Assume that $sin(x)$ equals its Maclaurin series for all $x.$

Use the Maclaurin series for $sin(4x^2)to$ evaluate the integral

${\displaystyle \underset{0}{\overset{0\mathrm{.}69}{}}}sin(4x^2)dx$

Your answer will $bean$ infinite series. Use the first two terms $to$ estimate its value $to5$ decimal places.