$\frac{dt}{dx}=\frac{5x^2}{4t}$

$\frac{\cot\left(x\right)}{sin\left(2x\right)}=\frac{1}{1-cos^2x}$

$\int\frac{3x}{x^4+x^2}dx$

$\frac{3x+5}{x^2+3x+2}$

$\left(5x^4-6y^2\right)\cdot\left(25x^8+60x^4y^2+36y^4\right)$

$\int\left(2x-1\right)^2cos\pi xdx$

$\frac{-5a^3}{-a^2}$