$\frac{cosx\left(x\right)}{1+sin\left(x\right)}+tan\left(x\right)$

$\int24x^3e^{2x^4}dx$

$g\left(x\right)=\left(2x\right)^2$

$\left(a^2+8y\right)\left(a^2-8y\right)$

$\lim_{x\to0}\left(\frac{arctan\left(x\right)}{sinx\left(x\right)}\right)$

$2\:+-1\cdot\left(-3\right)^4:\left(-27\right)$

$\int\:\frac{\left(3x-5\right)}{\left(x-1\right)\left(x^2-1\right)}dx$