$\int_1^{\infty}\left(\frac{5}{2x+6}-\frac{5}{x}\right)dx$

$\lim\:_{x\to\:\infty}\left(\frac{2x^4-3x^2+1}{1x^5+2x^3+6x}\right)$

$\frac{dy}{dx}=\frac{2y\cos\left(x\right)+\sin^4\left(x\right)}{\sin\left(x\right)}$

$\frac{dy}{dx}=\frac{e^x}{y^9}$

$28-7x^2$

$\int5x^2\sqrt{1+x^2}dx$

$\left(y+3\right)^2\left(y-3\right)^2$