1.\:\:\int \frac{(x^{3}+9)}{x^{2}+3x+2}dx
2.\:\:\int \frac{x^{3}}{x^{2}+x-2}dx
3.\:\:\int \frac{x^{4}}{x^{2}+x-2}dx
4.\:\:\int \frac{x^{3}}{x^{2}-5x+6}dx
5.\:\:\int \frac{x^{3}-4x-10}{x^{2}-x-6}dx
6.\:\:\int \frac{(x^{3}-21x)}{(5+4x-x^{2})}dx
7.\:\:\int \frac{x^{4}-8x^{2}-10}{x^{2}-3x-10}dx
8.\:\:\int \frac{x^{4}-x^{2}+2}{x^{2}(x-1)}dx
9.\:\:\int \frac{2x^{3}-2x^{2}+1}{x^{2}-x}dx
10.\:\:\int \frac{x^{4}-2x^{2}+4x+1}{x^{3}-x^{2}-x+1}dx
