$\int ln\:x^3dx$
$\int\frac{102}{x\left(x^2+20x+51\right)}dx$
$\int16x^2\sqrt{-x^3+2}dx$
$6ab+2ab^2-2ab+4b^2a$
$\lim_{t\to1}\:cot\left(\pi t\right)$
$\left(6x^4-8y^5\right)\left(6x^4+8y^5\right)$
$\int12\sin\left(x\right)\cos\left(2x\right)dx$
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