$\int\frac{x^2-3x+3}{\left(x+3\right)\left(x-2\right)}dx$

$\int\left(\frac{4x^2+3}{\left(x+8\right)^3}\right)dx$

$2\sin\left(x\right)=1-2\cos\left(x\right)$

$-x^2-11-2a^3b^4+9y^3+8a^3b^4$

$cr\frac{dv}{dt}+v=e$

$\lim_{x\to0}\left(\frac{x+1}{x+2}\right)^x$

$5x^6-5x^2$