$6x^3y^2+12x^3$
$\int2x\cdot\cos\left(9x\right)dx$
$\frac{1}{1-4x},c=0$
$\left(1+5x\right)^{-\frac{1}{5}}$
$\frac{dy}{dx}=\frac{x\left(y^2+1\right)}{\left(x+1\right)}$
$\int\frac{4x^7}{\sqrt[3]{4-x^4}}dx$
$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)^2$
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