$$\int\frac{3}{4}\left(8x+2\right)^{\frac{9}{2}}dx$$

$$2x^2y+3xy^2+3x+2y\:restar\:3x^2y-3xy^2+3x-4y$$

$$7+\left|-10-\left(-9-\left(-2\right)\right)\right|+\left(9-5\right)$$

$$-12+63-\left|\left(-20\right)-\left(-11\right)\cdot7\right|$$

$$\frac{\csc^2\left(x\right)}{\cot\left(x\right)}=\tan\left(x\right)+\cot\left(x\right)$$

$$\frac{dy}{dx}=x^2\sqrt{x-1}$$

$$\frac{dy}{dx}=\frac{x-5}{y^2}$$