Chapter 4.4, Problem 7ES

a.

To determine

To approximate: The value of the integral ${\displaystyle \underset{0}{\overset{2}{\int }}{x}^{2}ln\left(x^2+1\right)}dx,h=0.25$ using the composite Trapezoidal rule.

b.

To determine

To approximate: The value of the integral ${\displaystyle \underset{0}{\overset{2}{\int }}{x}^{2}ln\left(x^2+1\right)}dx,h=0.25$ using the composite Simpsons rule.

c.

To determine

To approximate: The value of the integral ${\displaystyle \underset{0}{\overset{2}{\int }}{x}^{2}ln\left(x^2+1\right)}dx,h=0.25$ using the composite Midpoint rule.