$\frac{1}{cot^2}x-sec^2x$

$-\frac{5}{2}\cdot\frac{2}{5}$

$\int\frac{1}{\left(x^2-25\right)}dx$

$\frac{sinx\left(2cos^2x-1\right)}{cosx}=tanxcos2x$

$50x+178$

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

$\lim_{x\to\infty}\left(\frac{\cos\left(2x\right)-cos\:\left(x\right)}{sin^2x}\right)$