$\lim_{x\to0}\left(\frac{1-\sin\left(x\right)}{x^2\cdot\sin\left(x\right)}\right)$

$\sin\left(x\right)^3+\sin\left(x\right)\cos\left(x\right)^2$

$\int\:\frac{e^t}{e^t+1}dt$

$\int\frac{6x^2+x+6}{\left(x^2+2\right)\left(x-6\right)}dx$

$\int\frac{3x^2+10x+24}{x+1\left(x^2+16\right)}dx$

$\frac{dy}{dx}\sin\left(x\right)^2=1+\cos\left(x\right)$

$\frac{y^6x^3}{y^6x^5}$