Chapter 8.1, Problem 9E

To determine

(a)

To find:

The value of the given integrals ${\displaystyle {\int }_0^{1}4x{e}^{-x^2}dx}$ by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ${\displaystyle {\int }_0^{1}4x{e}^{-x^2}dx}$ by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ${\displaystyle {\int }_0^{1}4x{e}^{-x^2}dx}$ by using the exact value.