Chapter 9.4, Problem 31E

(a)

To determine

To prove: The area of the trapezoid given in the figure below is $\frac{1}{2}\left(h+k\right)l$.

(b)

To determine

To prove: The area of the first trapezoid in the figure below is $\frac{1}{2}\left[f\left(a_0\right)+f\left(a_1\right)\right]\Delta x$.

(c)

To determine

The Trapezoidal rule for the figure given below with $n=4$.