true or false integral area question

Question

Using the Trapezoidal Rule with a step size of 0.5, an approximation for the integral . true or false

Answer 1

The answer is: TRUE.

Because the calculations are tedious, I created Excel file for numerical calculations using Trapezoidal, Midpoint, or Simpson rules.

You can find this file and supporting video on the following link:

Approximate Integration with MS Excel - YouTube

For your problem you need to enter into the cell B1 value 1 (lower limit), into the cell D1 value 4 (upper limit), into the cell F1 value 6 (to get the step size 0.5) and and into the cell C3 the formula =B3^8.

The Trapezoidal Rule gives value 31827.88086.