[m]\int^{1}_{-1} \frac{4x^3+2}{x^2}dx=\int^{1}_{-1} \frac{4x^3}{x^2}dx+\int ^{1}_{-1}\frac{2}{x^2}dx=4\int^{1}_{-1} \frac{x^3}{x^2}dx+2\int^{1}_{-1} \frac{1}{x^2}dx=[/m]
[m]=4\int^{1}_{-1} x\cdot dx+2\int^{1}_{-1} x^{-2}dx=(4\cdot\frac{x^2}{2}+2\cdot\frac{x^{-2+1}}{-2+1})|^{1}_{-1}=[/m]
[m]=(2x^2-\frac{2}{x})|^{1}_{-1}=2(1^2-(-1)^2)-\frac{2}{1}+\frac{2}{(-1)}=0-4=-4[/m]