a.
[tex]\int\limits ((x^{2} + 4x + 6))dx = \frac{x^{3} }{3} + 2x^{2} +6x +C[/tex]
[tex]\int\limits^0_ {-2} ((x^{2} +4x+6))dx=\frac{20}{3} = 6.666667[/tex]
b. [tex]\int\limits ((4x^{3} + 5x^{2} + 6x + 3))dx = x^{4} + \frac{25}{3} x^{3}+3x^{2} + 3x +C[/tex]
[tex]\int\limits^2_ {1} ((4x^{3} +5 x^{2} +6x +3))dx = \frac{256}{3} = 85.333333[/tex]
c. [tex]\int\limits((-2x^{2} + 4x^{2} - 6x +10 )) dx = -2 x^{4} + \frac{16}{3} x^{3} - 3x^{2} +10x +C[/tex]
[tex]\int\limits^2_{-1} (( -2x^{3} + 4x^{2} - 6 x +10)) dx = 39[/tex]
