$2\sin^2x+c$
$2x^2-2x^2+7x+x+1$
$\frac{dt}{du}=2+8u+8t+32tu$
$\frac{x^2+4x+4}{x+2}$
$\int\left(xy\cdot\cos\left(2x^2+3\right)\right)dx$
$\int\frac{x+6}{x\left(x+2\right)}dx$
$\frac{x^8-1}{\left(x-1\right)\left(x+1\right)}$
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