$\int\sin\left(x\right)^6\cos\left(x\right)^3dx$

$\lim\:_{t\to\:-4}\left(\frac{-3t-12}{\sqrt{15t+124}-\sqrt{18t+136}}\right)$

$\frac{dy}{dx}=\frac{sin\left(y\right)}{e^x}$

$\ln\sqrt{6a^5b^3}$

$\int4xy\sqrt{x^2+y^2}dx$

$1a\:+\:1a$

$\left(1+y^2\right)\frac{d^2}{dx}\left(y\right)=0$