$\tan\theta\left(\cot\theta+1\right)$

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

$\left(\tan\left(x\right)+1\right)\left(3\tan\left(x\right)-\sqrt{3}\right)=0$

$\int_{\frac{\pi}{4}}^{\frac{\pi}{2}}\left(csc^2x\:\left(cot\:x\right)\right)dx$

$\frac{4^{m+8}.8^{m+4}}{2^{m+16}.16^{m+2}}$

$24x\:-\:12$

$dt+e^{3t}dy=0$