$\int\cot^{-1}\left(\sqrt{z}\right)\left(z\right)^{-\frac{1}{2}}dz$

$-27-45-32-28$

$3\cdot10^8\cdot1\cdot10^4$

$121-100x^2$

$\frac{d^2}{dx^2}\left(x^{2\:}+y^2=1\right)$

$-2\sin^2\left(x\right)+\sin\left(x\right)+1=0$

$\int\frac{\left(\ln x\right)^{2}}{\sqrt{x^{3}}}dx$