$\lim_{x\to0}\left(\left(1+x\right)^{\left(\frac{1}{x}\right)}-e\right)$

$y\:=\:x\left(x\:-\:1\:\right)$

$9d-9$

$\int_0^{5sqrt3}\left(x^3\sqrt{25+x^2}\right)dx$

$21m^2n-3m^2n^3+7m^4n^2$

$\int_{-1}^5\left(\frac{x^2+1}{x^2+4}\right)dx$

$\lim_{x\to-1}\left(\sqrt{2x^2+3}\right)$