$\frac{\left(1+\cot\left(x\right)\right)}{\cot\left(x\right)}=\frac{\left(1\right)}{2\:\cos^2\left(x\right)}$

$\frac{4m^2-25}{2m+5}$

$49m^2+14+1$

$\int\left(\frac{8x}{\left(2x^2+3\right)^2}\right)dx$

$\int sin\left(x\right)\cdot sin\left(x\pi n\right)dx$

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

$\frac{dx}{dt}=2+2u+t+tu$