$\frac{6y^{5}x^{6}-15y^{5}x}{3y^{3}x^{2}}$
$a^0=\:0$
$\cos^2\left(3x\right)\sin\left(3x\right)$
$\left(2x^3-1\right)^4$
$\int_0^4\left(x^2\ln\left(8x\right)\right)dx$
$\frac{dy}{dx}=.01y+200$
$3\int\frac{1}{\left(11+x\right)\left(11-x\right)}dx$
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