$\cos^2x+\left(\sin\left(x\right)-\tan\left(x\right)\right)\left(\sin\left(x\right)+\tan\left(x\right)\right)=1-\tan^2x$

$\int_{\sin\left(x^2\right)}^{1+\sin\left(x^3\right)}\left(e^x\right)dx$

$\frac{dy}{dx}=18x^2-8x$

$\frac{\left(cot\left(x\right)+tan\left(x\right)\right)}{csc\left(x\right)}=sin\left(x\right)$

$\lim_{x\to2}\left(\frac{\frac{1}{\sqrt{x}}-\frac{1}{\sqrt{2}}}{x-2}\right)$

$\frac{dy}{dt}=2-\frac{3y}{\left(t+10\right)}$

$\left(\sqrt{2}\cdot\sqrt{3}\right)^4$