$\frac{3}{4}\sin\:\left(x\right)-\sin\:^3\left(x\right)=\frac{1}{4}\sin\left(3x\right)$

$\left(y\:lnx\right)^{-1}\:\:\frac{dy}{dx}=\left(\frac{x}{y+1}\right)^2$

$tan2x+1=0$

$\frac{100n^{2}\cdot60+9n}{25}$

$\frac{x^3+x-12x^2-42}{x-3}$

$\frac{x^3-2x^2+4}{x^2}$

$\int_2^4\left(\frac{yx}{3x\left(1-x\right)}\right)dx$