$$\int\left(8+e^{-x}\right)\left(e^{-x}\right)dx$$

$$2\sin\left(x\right)-2\left(\sin\left(x\right)-3\sin\left(2x\right)\right)$$

$$x^4+10x^2+24$$

$$\int_{-\infty}^{-1}\left(\frac{3}{3x-x^2}\right)dx$$

$$-1-3\csc\left(x\right)=-7$$

$$4x^4-9$$

$$\frac{125x^3-64y^6}{5x+4y^2}$$