$\csc^2\left(u\right)-1$

$8x-65x=-x^2$

$\int\:cos^7\:\left(x-1\right)dx$

$\frac{d}{dx}\left(\ln\left(x\right)^{\ln\left(y\right)}-x=0\right)$

$2\sqrt{100}$

$\int5\left(\tan^2\left(x\right)\right)dx$

$\lim_{x\to0}\left(\frac{e^{4x}-1-4x}{1-cos\left(4x\right)}\right)$