$\int\left(x\right)^2\sqrt{1+x}dx$
$\frac{1}{x^3-y^3}$
$x^{2}-4x^{2}+x+1$
$\int-\csc^2\left(2x+5\right)dx$
$\int x^2u^xdx$
$\int\left(\frac{\left(2x-1\right)^3}{2x}\right)dx$
$\int6x^2-8x+5dx$
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