$$\int _ { 0 } ^ { \infty } a ^ { 2 } \frac { L a w } { a ^ { n } \times a ^ { n } } =$$
$\left\{\begin{matrix}\infty,&\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}<0\text{ and }L>0\text{ and }w<0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}>0\text{ and }L<0\text{ and }w<0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}>0\text{ and }L>0\text{ and }w>0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}<0\text{ and }L<0\text{ and }w>0\right)\text{ or }\left(a>0\text{ and }a^{3-2n}<0\text{ and }L>0\text{ and }w<0\right)\text{ or }\left(L<0\text{ and }a>0\text{ and }w<0\right)\text{ or }\left(L>0\text{ and }a>0\text{ and }w>0\right)\text{ or }\left(a>0\text{ and }a^{3-2n}<0\text{ and }L<0\text{ and }w>0\right)\\0,&\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }L=0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }w=0\right)\text{ or }\left(a>0\text{ and }L=0\right)\text{ or }\left(a>0\text{ and }w=0\right)\text{ or }\left(a=0\text{ and }n<\frac{3}{2}\right)\\-\infty,&\left(L<0\text{ and }a>0\text{ and }w>0\right)\text{ or }\left(a>0\text{ and }a^{3-2n}<0\text{ and }L>0\text{ and }w>0\right)\text{ or }\left(a>0\text{ and }a^{3-2n}<0\text{ and }L<0\text{ and }w<0\right)\text{ or }\left(L>0\text{ and }a>0\text{ and }w<0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}>0\text{ and }L<0\text{ and }w>0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}<0\text{ and }L>0\text{ and }w>0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}<0\text{ and }L<0\text{ and }w<0\right)\text{ or }\left(a<0\text{ and }Denominator(-2n)\text{bmod}2=1\text{ and }a^{3-2n}>0\text{ and }L>0\text{ and }w<0\right)\end{matrix}\right.$
$\text{Indeterminate}$
