Chapter 4.4, Problem 15ES

(a)

To determine

To investigate: The continuities of the derivatives of f.

(b)

To determine

To approximate: The value of the integral ${\displaystyle \underset{0}{\overset{0.3}{\int }}f\left(x\right)dx},n=6$ using the composite trapezoidal rule and to find the error bound value.

(c)

To determine

To approximate: The value of the integral ${\displaystyle \underset{0}{\overset{0.3}{\int }}f\left(x\right)dx},n=6$ using the composite Simpsons rule and to find the error bound value.