# Project #799 - Trapezoidal Rule -High School Senior - How do I calculate the area underneath a curve

Part A, B and C to complete as per below and marking criteria attached.

Part A:
Trapezoidal Rule
Research and provide a detailed report on the trapezoidal rule.

• detailed explanation
• why it is useful
• demonstration of rule with and without function
• comparison of results with the definite integral
• evaluation of the method, including strengths and weaknesses and any assumptions made and their effects

PART B: Other methods
There are various other numerical methods of integration - including but not limited to: Monte Carlo, Riemann Sums & Simpsons Rule
Research two other methods. Demonstrate their their use to find the area under a function. Include a full explantion of the method of obtaining all numerical values, full working and justifications. State any assumptions on the validity of the model.

PART C: Compare
Compare the 4 methods of integration used throughout this investigation (Trapezoidal rule, the two methods researched in PART B and the definite integral).
Comment on their accuracy and use examples to suppport your comparison. Detail the strengths and weaknesses of each method.

 Subject Mathematics Due By (Pacific Time) 09/01/2012 11:00 pm
TutorRating
pallavi

Chat Now!

out of 1971 reviews
amosmm

Chat Now!

out of 766 reviews
PhyzKyd

Chat Now!

out of 1164 reviews
rajdeep77

Chat Now!

out of 721 reviews
sctys

Chat Now!

out of 1600 reviews

Chat Now!

out of 770 reviews
topnotcher

Chat Now!

out of 766 reviews
XXXIAO

Chat Now!

out of 680 reviews