$\int\left(\frac{11\ln\left(x\right)}{x\sqrt{3+\left(\ln\left(x\right)\right)^2}}\right)dx$

$\int_1^{\infty}\left(x^5\right)dx$

$\lim_{x\to2}\left(3-x\right)^{\cos\left(\pi^x\right)}$

$\int_0^{\frac{3\pi}{2}}\left(-sin3x^3\right)dx$

$\lim_{x\to0}\left(\frac{x^{-1}}{-\ln\left(x\right)}\right)$

$\frac{dx}{dt}=\frac{1}{2}x-\frac{5}{12}x^2$

$\frac{7+8\:cos\left(y\right)}{8+7\:sec\left(y\right)}$