$\int\left(6+3x\right)\cos\left(1+4x\right)dx$

$\lim_{x\to\infty}\left(\frac{13\:ln\left(x-13\right)}{x-e}\right)$

$a+7a+6$

$\lim_{x\to\infty}\left(\frac{5x^3+6x^2+x+2}{x^3}\right)$

$f\left(x\right)=\left(x^3-5x^2\right)$

$\frac{x^3+3x^2-8x-16}{x+5}$

$\left(\frac{x^3y^2}{4}\frac{2}{5}\right)^2$