$\lim_{x\to0}\left(\left(x+sinx\right)^x\right)$

$\int\left(\frac{14}{\sqrt{1+7x}}\right)dy$

$\frac{dy}{dx}=-2y^3x^2$

$\lim_{t\to\infty\:}\left(\frac{2e^t-2}{t}\right)$

$tag\left(x\right)sen\left(x\right)^2+\cot\left(x\right)\cos\left(x\right)^2+2\sin\left(x\right)\cos\left(x\right)$

$\frac{3-x\left(x+2\right)}{54}$

$\frac{x^{2+4x+4}}{x+7}\:\cdot\frac{1}{x+2}$