$\lim_{x\to\infty}\left(1+sin\left(\frac{\pi}{x}\right)^{\frac{x}{4}}\right)$

$\int e^{2x}\:\cos\left(5x\right)dx$

$=ln\left(\frac{x^{\pi}\pi^x}{ln\left(x^{\sqrt{2}}\right)}\right)$

$\frac{dy}{dx}\left(\frac{3x^4-9x^3+5}{x^2}\right)$

$\log24=\log z+2\log2$

$\int_{-2}^2\left(e^{-x}\right)dx$

$\int\:\sqrt{sec\left(2x\right)}dx$