$\int6e^{3x}\cdot\left(e^{3x}+1\right)^4$

$\sin\left(r+t\right)=\sin\left(r\right)\cos\left(t\right)+\cos\left(r\right)\sin\left(t\right)$

$\int\frac{x^3+3x-2}{x^2-x}dx$

$\left(5y^3+14\right)\left(5y^3-9\right)$

$4\sin\left(x\right)^2-5\sin\left(x\right)-6=0$

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

$n^{''\:}+2n^{'\:}+n=0$