"I commend Tai for producing a correct method for calculating the total area under the curve. It uses the trapezoid rule, a basic geometrical concept, which is that the area of a trapezoid is the mean ...

Implementations of the following numerical integration techniques are given below: Left-hand Riemann sum, Right-hand Riemann sum, Midpoint Rule, Trapezoid Rule, and Simpson's Rule. Modify and evaluate ...

It uses the trapezoid rule, a basic geometrical concept, which is that the area of a trapezoid is the mean of the length of the two parallel sides times the width," one reply explains.