$\frac{dy}{dx}\:+\:ax^2+g\:=0$

$\int\frac{\left(3x-5\right)\left(x^2-5x-7\right)}{x+2}dx$

$-6c+2c-4+8$

$\frac{5x^2+20x+16}{x+3}$

$\lim_{x\to\infty}\left(\left(n^{\frac{3}{2}}\right)\left(\sin\left(\frac{1}{n}\right)\right)\right)$

$\lim_{x\to0}\left(\frac{4\arctan\left(x\right)-\arctan\left(4x\right)}{4sin\left(x\right)-sin\left(4x\right)}\right)$

$7x^4-x^2$