$\lim_{x\to0}\left(x^4\cdot e^{-x}\right)$
$\int x^3\left(\sqrt{\left(x^2-1\right)}\right)^{15}dx$
$\int\:x^4\left(\frac{7x^4}{3}-\frac{1}{2}x-\frac{2}{3}\right)dx$
$2x^2dx-2xdy=0$
$4y^3+32y^2+64y$
$2t^2-t+1+4t^2$
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