$\lim_{x\to0}\left(\left(5x+cosx\right)^{\frac{1}{x}}\right)$

$\int\frac{\left(x^3+32\right)}{\left(x^2+7x+12\right)}dx$

$\frac{d^n}{dx^n}\left(x+7x^{\frac{1}{3}}+x^{\frac{2}{3}}\right)$

$4x^2+y^3+2x^4y^2-x^3x$

$\int_0^1\frac{1}{x^2+a^2}dx$

$\left(4w-5\right)^2$

$\frac{81a^{12}-729}{2a^2+9}$