$\lim_{x\to0}\left(\left(3x\right)in\left(x+1\right)\cdot cos\left(3x\right)\right)$

$\int_0^xtdt$

$\lim_{x\to0}\left(\frac{4x^3}{e^{7x}}\right)$

$\int x\left(2x^2+1\right)^6\:dx$

$\frac{dy}{dx}=\frac{\left(y+9\right)}{\left(x+4\right)}$

$\lim_{t\to-2}\left(\sqrt{8+t^3}\right)$

$10n+8=-32$