$$\int\frac{2ln\left(x\right)}{\sqrt{x}}dx$$

$$-2y^3+4y^3$$

$$g^2-9g+18$$

$$\left(a^2+4b^2\right)^2$$

$$\left(1+cot^2\left(y\right)\right)\left(cos\left(2y\right)+1\right)=2cot^2\left(y\right)$$

$$\int\frac{x^5\:-x^2}{x^3\:-2x}dx$$

$$\int\frac{2x^3\:-\:1}{x^4\:-\:2x}dx$$