$\frac{1\:csc\:x}{sec\:x}=cos\:x\:+cot\:x$

$\frac{d}{dx}\left(x^2y+3x^2-4=0\right)$

$\left(\frac{2}{3}yx^2+\frac{1}{2}y^3\right)^3$

$\lim_{n\to\infty}\left(\left(\frac{n}{n+1}\right)^n\right)$

$\frac{1}{\left(1-x\right)\left(1+x\right)}$

$-75y^2+48x^2$

$\int\frac{2x+2}{\left(x+1\right)^{2}}dx$