$\left(2x\:^3\:+y\right)\:^2$

$\lim_{x\to\infty}\left(\frac{\left(x^2-8x+15\right)}{x-1}\right)$

$\frac{dy}{dx}\left(51=4y^2+y\sqrt{4x^2+y^2}\right)$

$\left(2x^4\right)\sqrt{x^5}-6$

$\int\frac{\sqrt{x}}{\left(4+x\right)^2}dx$

$\int\frac{5^x}{2+5^x}dx$

$\frac{x^5+3x-1}{x+3}$