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

$\frac{\left(12m^2+19m^4-1+3m+30m^5\right)}{\left(4m^2+5m^3-2m+1\right)}$

$\int\frac{3x}{\sqrt[3]{x^{2}+3}}dx$

$\frac{15xy}{5}$

$sin\left(sin^{-1}u-cos^{-1}v\right)$

$\ln\left(x+4\right)+\ln\left(2\right)=2\ln\left(x\right)$

$\lim_{x\to\infty}\left(xsin\frac{x}{19}\right)$