$\lim_{x\to\infty}\left(\frac{ln\left(x+6\right)}{ln\left(x+5\right)}\right)$

$\left(2x+1\right)^2\left(x-2\right)^3$

$\lim_{x\to0}\left(\frac{sinx}{sqrt\left(1-cosx\right)}\right)$

$\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(2\:sec^2\:x+\frac{\pi}{x^2}\right)dx$

$\int z^2\sqrt{1-z}\:dz$

$\int4x\cos\left(x^2+3\right)dx$