$\frac{dy}{dx}=\frac{3x}{5y^2}$

$-3x^3y^2-5x^3y+5x^3y^2$

$\left(\frac{39}{2}-\frac{46}{3}\right)^2$

$\int\:3cot\left(x\right).\left(2cot\left(x\right)+5sen\left(x\right)\right)dx$

$\left(4\cdot3\right)^2^{\left(-1\right)}$

$cos\left(tan^{-1}x\right)=\frac{1}{\sqrt{1+x^2}}$

$\frac{2^{x+1}\cdot\:\:\:\:\:5^{x+1}-2^x\cdot\:\:\:\:\:5^x}{8\cdot\:\:5^x+5^x}$