Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ${\displaystyle {\int }_{-1}^2\left(2x^3+1\right)dx}$ by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ${\displaystyle {\int }_{-1}^2\left(2x^3+1\right)dx}$ by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ${\displaystyle {\int }_{-1}^2\left(2x^3+1\right)dx}$ by using the exact value.