$6x^2+3y^2=12$

$4b+-9b^2+2$

$\lim_{x\to\infty}\left(\frac{\sqrt{4x+4}}{x}\right)$

$\int\frac{9x^2}{\left(81+x^2\right)^2}dx$

$\csc\left(x\right)^2-2\csc\left(x\right)\cot\left(x\right)+\cot\left(x\right)^2=\frac{1-\cos\left(x\right)}{1+\cos\left(x\right)}$

$\left(2x^5-3x^2\right)^2$

$\frac{dy}{dx}=\left(1-x\right)^{e^{x-y}}$