6.1 Areas Between Curves/15

Failed to parse (unknown function "\begin{align}"): {\displaystyle \begin{align} & \color{red}\mathbf{y=\tan(x)} & \color{royalblue}\mathbf{y= 2\sin(x)} \\ & x=-\frac{\pi}{3}} & x=\frac{\pi}{3}} \\ \end{align} }

$\int _{-{\frac {\pi }{3}}}^{\frac {\pi }{3}}\left[(8-x^{2})-(x^{2})\right]dx$

${\begin{aligned}\tan(x)&=2\sin(x)\\\tan(x)-2\sin(x)&=0\\x&=0\\\end{aligned}}$