Chapter 3.6, Problem 6E

To determine

a)

The formula for the approximation of integral ${\displaystyle {\int }_0^{1}f\left(t\right)dt}$ using Euler’s method.

To determine

(b)

To find:

The formula for the approximation of integral ${\displaystyle {\int }_0^{1}f\left(t\right)dt}$ using the trapezoid scheme.

To determine

(c)

To find:

The formula for the approximation of integral ${\displaystyle {\int }_0^{1}f\left(t\right)dt}$ using improved Euler’s method.