$\left(8a^4m^2n^3\right)^4$

$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\left(e^{4x}\sin\left(3x\right)\right)dx$

$3x^2-12x-5$

$\lim_{x\to\infty}\left(\sqrt{n}\left(\sqrt{n+1}-\sqrt{n}\right)\right)$

$\int_1^{\infty}\left(\frac{2}{x\:+\:1}\right)dx$

$4\cdot2-2\left(2+4\right)+1$

$\frac{x^2+15}{\left(x+3\right)^2}$