$6\cdot5\cdot4\cdot3\cdot2\cdot1\cdot24$

$-5x^2-38x-63$

$\int6e^{7x}dx$

$cos\left(tan^{-1}\left(\frac{x}{3}\right)\right)$

$\lim_{x\to\infty\:}\left(e\right)^{\lim_{x\to\infty\:}\left(\frac{\ln\left(2^x+3^x\right)}{x}\right)}$

$\int\left(3x+1\right)^3dx$

$\frac{dy}{dx}=e^{3x+2y}\:y\left(0\right)=2$