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

$$\frac{a^{11}+1}{a-1}$$

$$4m\left(-3m\right)\left(m^2-1\right)$$

$$\int\frac{\sqrt{2+3\sqrt{x+1}}}{\sqrt{x+1}}dx$$

$$\int_1^2\left(\frac{\sqrt{x}}{y^2}\right)dy$$