$$\frac{c^6}{121}-d^{12}$$

$$\int_{0}^{\ln3}\frac{e^{t}}{49+e^{2t}}dt$$

$$-8+5-\left(9+12-15\right)-24$$

$$\frac{dy}{dx}=4y^{-2}\left(x^6+x^4+x^2\right)$$

$$\frac{4}{x-1}-3+\frac{3x^2}{5-4x-x^2}$$

$$\frac{dy}{dx}=\left(y+5\right)\left(x+2\right)$$