$$\left(\sqrt{\tan\left(4x\right)}\right)^2$$

$$\int5x^2\sqrt{x-6}dx$$

$$5a\left(3a^3+2a^2-2\right)$$

$$\int2x\left(x^2+7\right)^8dx$$

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

$$9x^2-7y^3\:.\:9x^2+7y^3$$

$$12^2-x-6$$