$\int_0^{\infty}\left(\frac{36x^4-109x^2+25}{2x+1}\right)dx$

$\left(cos\left(x\right)-tan\left(x\right)\right)^2+\left(sin\left(x\right)+1\right)^2=\tan^2\left(x\right)+2$

$\frac{-4x^4+8x^2+7x-3}{x-5}$

$\frac{dy}{dx}=-sin\:3t$

$\frac{1}{x}\cdot2^3\cdot x\sqrt{3x}$

$\int\frac{1}{\left(x-4\right)\left(x+5\right)}dx$

$12x^5y^6+3x^4y^5+6x^4y^7$