$\int\frac{5-19x-6x^2}{\left(x-1\right)\left(x+3\right)\left(x+4\right)}dx$

$-\frac{3}{2}y+\frac{1}{4}y^{2}$

$\int\frac{x^3+x+1}{x\left(x-1\right)^2}dx$

$\left(100x+3y-8\right)-\left(17x-40y+1\right)$

$\lim_{x\to0}\left(\frac{e-x}{x^2}\right)$

$\pi\int_0^{45}\left(\sin\left(w\right)\right)dx$

$\frac{1}{\left(x^2-x-6\right)\left(x^2-2x-8\right)}$