Chapter 21, Problem 7P

Integrate the following function both analytically and numerically. For the numerical evaluations use

(a) a single application of the trapezoidal rule,

(b) Simpson's 1/3 rule,

(c) Simpson's 3/8 rule,

(d) Boole's rule,

(e) The midpoint method,

(f) The 3-segment–2-pointopen integration formula, and

(g) The 4-segment–3-point open integration formula. Compute percent relativeerrors for the numerical results.

${\displaystyle {\int }_0^1{14}^{2x}dx}$