$\int\frac{4x^3+2x^2+1}{4x^3-x^3-x}dx$
$27x+18$
$27x^{2\:}+33x+8$
$25x-5$
$\int\left(x+1\right)\left(2x^2+4x\right)^{\frac{3}{2}}dx$
$-8x^4-12x^3+36x^2+32x-48$
$\int\sin t\:\ln\cos t\:dt$
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