Trapezoidal Rule

Trapezoidal Rule

When we cannot find an antiderivative for a function, we are not able to use the FTC to determine the area under the curve. If we cannot get the exact area under a curve, then approximations must be used such as Riemann Sums. However, the approximations using rectangles can sometimes lead to error beyond acceptable bounds. One shape that does a very good job of minimizing area better than rectangles are trapezoids. In this video we explain an approximation technique known as the ‘Trapezoidal Rule’.