$sin^4\left(x\right)+2cos^2\left(x\right)-cos^4x=1$

$100x^6+60x^3y^4+9y^8$

$\frac{dy}{dx}\left(y=x^{8x}\right)$

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

$\frac{\left(1-sinx\right)}{cos2x}=\frac{cos2x}{1+sin2x}$

$\frac{3}{4}+\:\int_{\frac{5}{3}}^x\:\left(\frac{15}{8}-\frac{9}{8}\right)\:dx$

$33-18-\left(-5\right)$