$\int e^{3x}\left(1-e^{3x}\right)^{2}dx$

$7y^2+2\left(y-4\right)-9y^2$

$\frac{x^2+7x+6}{x+2}$

$+1-\left[-4+\left(-10\right):\:\left(-5\right)\right]+\:\left[+3+\left(-9\right):\:\left(-9\right)\right]$

$\sqrt[7]{3x^5y^6}$

$\frac{dx}{dt}=sin\left(3t\right)\cdot cos\left(3t\right)$

$\lim_{x\to\infty}\frac{\frac{10}{11}^x}{\frac{9}{10}^x+\frac{11}{12}^x}$