$\lim_{x\to\infty}\:\frac{arctan\left(x^3\right)}{x^8}$

$4-4x^2+4x^4$

$\frac{\csc\left(x\right)\sec\left(x\right)}{\csc\left(x\right)+\sec\left(x\right)}$

$152-20+84$

$\int_0^{\frac{\pi}{3}}\left(-3tan^3\left(x\right)\left(sec^5\right)\right)dx$

$\frac{dy}{dx}=.6y\left(1-\frac{y}{1050}\right)$

$0^{3}-k^{3}$