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

$\frac{x^2}{9-x^2}$

$\int\left(\frac{\left(ln\left(x\right)+10\right)}{x}\right)dx$

$\int\left(x^3\sqrt{2x^4-1}\right)dx$

$\sqrt[12]{x^8y^4}$

$7y-4+y+5$

$\frac{dy}{dx}=30x^4y\left(1-4x^5\right)^{\frac{1}{2}}$