$\frac{dy}{dx}=y\left(y+1\right)$

$\lim_{k\to3}\frac{k^2-7k+12}{k-3}$

$\int\left(\frac{e^{12t}}{\sqrt{4e^{6t}-1}}\right)dt$

$3\cos^2\left(x\right)-2\cos\left(x\right)-1$

$\int cos^3x\:sen2x\:dx$

$\int_0^{2\pi}\left(-\sin^2\left(x\right)\right)dx$

$\int\:\frac{\sin\left(log\left(x\right)\right)}{x}dx$