$3x^3y'+4x^2=x^3$

$x\left(x+1\right)=2x^2+5$

$\lim_{x\to\infty}\left(\frac{cos\left(3x\right)}{ln\left(x\right)}\right)$

$\left(a-x\right)^5$

$\cos^2\left(x\right)\cdot\sec^2\left(x\right)\cdot\tan^2\left(x\right)\cdot\csc^2\left(x\right)=\sec^2\left(x\right)$

$y\left(s\right)=\frac{4s-2}{\left(s-1\right)^2\left(s-2\right)\left(s+1\right)}$

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