$\int\frac{11x+7}{\left(2x-1\right)\left(x+2\right)^2}dx$

$\int4x^6\left(3x^7-8\right)^{\frac{1}{3}}dx$

$\lim_{x\to\infty}\left(\frac{x^2-6x+5}{\left(x-1\right)\cdot\left(x^2-3x+2\right)}\right)$

$\left(-2y\right)\left(8x-5y\right)$

$a^3b-a^2b^2+ab^3-b^5$

$4x-\frac{2}{9}x+\frac{x}{3}$

$\int_0^x\left(\frac{\left(10-x\right)}{50}\right)dx$