$$\frac{d}{dx}\left(y^2+xy-3=0\right)$$

$$\int_{150}^{300}\left(\frac{1}{150}e^{\frac{-x}{150}}\right)dx$$

$$\int\frac{x^3+x^2+2x+1}{x\left(x^2+1\right)}dx$$

$$\frac{x^2+2x-1}{x^2+1}$$

$$512-27y^9$$

$$\int\frac{5x^2-6x-4}{\left(3x+4\right)\left(x^2+6\right)}dx$$