$\frac{d}{dx}\left(arccot\left(x+y\right)=\arcsin\left(e^y+x\right)\right)$

$\int\frac{2x-3}{\left(x^2-4x+8\right)}dx$

$x^2-5x-84$

$8.25\cdot z=42.24$

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

$6a^3b^3+3a^3b^2+a^2b^2$

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