$\int t\sqrt[4]{t+5}dx$

$2u\frac{4}{3}v\frac{2}{3}\cdot2v-\frac{3}{2}\cdot4v^2$

$\int\frac{1}{\left(9+25x^2\right)^{\frac{3}{2}}}dx$

$5y=\frac{dy}{dx}$

$\left(5a\:+\:4b\:-\:6c\right)-\left(3a\:+\:b\right)$

$\left(\frac{1}{4}x+\frac{1}{2}\right)^{2}$

$\lim_{x\to\infty}\frac{x+3}{x-1}^{x+3}$