$\int-2\cos^2\left(3x\right)dx$

$\lim_{x\to\infty}\left(\frac{x^3-729}{\sqrt{x}-3}\right)$

$11x+11x+4x^4+4x^4$

$\lim_{x\to\frac{\pi}{2}}\left(10\tan\left(x\right)^{10\cos\left(x\right)}\right)$

$\left(\frac{-48ab^{-1}}{-6a^3b^5}\right)^{-1}$

$\frac{dy}{dx}=xe^{\left(x^2-\ln\left(y^2\right)\right)}$

$\frac{x^{14}}{x^4+1}$