$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\csc^2gdg$

$\int2x\log\left|x^2\right|dx$

$25p^4+30p^2q+9q^2$

$\lim_{x\to\infty}\left(\frac{-e^x}{x^{-2}}\right)$

$\frac{a^2-w^2}{a-w}$

$\frac{x^2+1}{\left(x+1\right)\left(x-2\right)\left(x-3\right)}$

$\lim_{x\to0}\left(1+\sin9x\right)^{\frac{1}{x}}$