$\lim_{x\to0}\left(1+3x\right)^{\frac{3}{x}}$

$\frac{dy}{dx}\left(\frac{\left(1+ce^t\right)}{1-ce^t}\right)$

$\int\:6sen\left(2x\right)cos\left(2x\right)dx$

$\frac{15a-3}{24}$

$\frac{1}{2}tanx+\frac{3}{5}cotx-\frac{7}{8}tanx+6$

$5-\left(2-2^2\right)^2$

$\left(x^2-7\right)^3$