$$\frac{d^4}{dx^4}\left(\frac{1}{x}\right)$$

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

$$\int\frac{1+v}{v^2\left(v-2\right)}dv$$

$$\int3x^{-3}dx$$

$$3x-x+15x$$

$$\int\:\:\frac{2x+1}{x^2+2x+5}dx$$

$$\left(6x^2+9x-2\right)-\left(x^2-6x+1\right)$$