$\int\frac{x^2+1}{3x^3+2x^2-7x+2}dx$

$\int\frac{\left(1+cosx\right)}{sinx}dx$

$\lim_{\theta\to\frac{\pi}{4}\frac{\cos\left(2\theta\right)}{\sqrt{2}\cos\left(\theta\right)-1}}$

$\frac{1}{x}+\frac{1}{x+2}=\frac{1}{5}$

$\frac{2xy}{2y^2}$

$\left(\frac{y}{y^2}\right)^2$

$1^{18}-9^2$