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

$$8-6+\left(-5\right)+3\left(-2\right)+\left(4\right)-14+0-7$$

$$\frac{1}{2}.\sqrt{3x}.2.\sqrt{\frac{1}{3}x}.3.\sqrt{2x}.-2.\sqrt{2x}$$

$$\int\:\left(2x+x^3\right)^2\cdot\:\left(6+9x^2\right)dx$$

$$\left(-100a^4-7b\right)^2$$

$$\lim_{x\to2}\left(\frac{x^3+1}{x\left(x-2\right)^2}\right)$$

$$2\frac{dy}{dx}+2y=2$$